SolverCalc · Algebra & equations

Algebra Calculators & Equation Solvers

Use SolverCalc’s algebra tools to solve supported equations, rewrite expressions or study points and lines. Match the form of your problem before entering values.

These 10 tools cover linear equations, quadratics, two-variable linear systems, expressions through degree two, powers, logarithms and two-dimensional coordinates. They are not a general-purpose solver for every kind of algebra.

Find the values that make an equation true

An equals sign gives you a relationship to solve. Check the highest power of the variable, then count the unknowns and equations. Those details decide which solver to open.

Equation Solver

One equation with x only to the first power, even when x appears on both sides.

Example input3(2x − 1) = 15x = 3

Enter the full linear equation. This tool is not the quadratic or simultaneous-equations solver.

Quadratic Formula Calculator

A squared variable leads to a quadratic in the form ax² + bx + c = 0.

Example inputx² − 5x + 6 = 0 → a = 1, b = −5, c = 6x = 2 or x = 3

Rearrange to zero on one side first. Enter coefficients, including their signs; a must be nonzero for a quadratic.

System of Equations Solver

Two linear equations must hold at the same time for the same x and y.

Example inputx + y = 9; x − y = 1x = 5, y = 4

Write both equations in ax + by = c form. Parallel or equivalent equations may not have one unique solution.

Rewrite an expression without solving for x

An expression has a value but does not, by itself, assert an equality. Simplifying usually collects terms into a shorter sum; factoring rewrites a suitable expression as a product. Neither task requires inventing an equals sign.

Simplify Calculator

You want brackets expanded and like terms collected in an expression in x.

Example input2(x + 3) + x3x + 6

The current tool supports expansion through degree two. Do not treat it as an unrestricted symbolic algebra system.

Factoring Calculator

You want an integer-coefficient quadratic written as factors rather than expanded terms.

Example inputx² + x − 6 → a = 1, b = 1, c = −6(x + 3)(x − 2)

Enter the quadratic coefficients. A quadratic that cannot be factored over the integers may still have roots in another number system.

Work with a base, power or logarithm

A power applies an exponent to a base. A logarithm asks which exponent would produce a given value from a chosen base. Use numerical inputs here, not an equation with an unknown exponent to be solved symbolically.

Exponent Calculator

Your inputs are a numerical base and exponent, or a value and root index.

Example inputBase = 5; exponent = 3125

Choose power or root mode and keep a negative sign attached to the intended base. Some inputs fall outside the real-number domain.

Logarithm Calculator

You know the positive argument and the base and need the numerical logarithm.

Example inputArgument = 32; base = 25, because 2⁵ = 32

For a real logarithm, the argument and base must be positive, and the base cannot equal 1.

Choose what you need from two coordinate points

The same endpoints answer three different questions: how steep the line is, how long the segment is, or where its center lies. Keep each x-coordinate paired with its own y-coordinate.

One pair of points, three algebra questionsFrom A at negative two, one to B at four, nine, the horizontal change is six and the vertical change is eight. The segment length is ten, its slope is four thirds, and its midpoint is one, five. The illustration is schematic, not a coordinate grid. A(−2, 1)B(4, 9)M(1, 5)Run = 6Rise = 8 Slope: 8 ÷ 6 = 4/3Distance: √(6² + 8²) = 10Midpoint: (1, 5)
Shared example for the three coordinate tools. Schematic; not drawn as a coordinate grid.

Slope Calculator

Find the line’s rate of change: vertical change divided by horizontal change.

Example inputA(−2, 1), B(4, 9)Slope = 4/3

Here the rise is 8 and the run is 6. Equal x-coordinates produce a vertical line, not a slope of zero.

Distance Formula Calculator

Find the straight-line length between the endpoints, regardless of the line’s direction.

Example inputA(−2, 1), B(4, 9)Distance = 10 units

The horizontal and vertical changes are the legs of a right triangle: √(6² + 8²) = 10.

Midpoint Calculator

Find the coordinate halfway along the segment rather than its length or gradient.

Example inputA(−2, 1), B(4, 9)Midpoint = (1, 5)

Average the two x-values and the two y-values separately; the answer is a point, not a single distance.

Prepare the input, then check the output

  • Read the field format

    Some tools accept a full expression; others need coefficients or separate coordinates. Copying the entire problem into one coefficient field will not represent it correctly.

  • Preserve signs and grouping

    Include zero coefficients for missing terms. Keep parentheses when a negative value or several terms belong together, and use the variable supported by the selected tool.

  • Check the mathematical object

    A solver returns values for unknowns; a simplifier or factoring tool returns an equivalent expression. A midpoint is a coordinate pair. Make sure that type of answer matches the question.

Turn a tool result into an algebra check

For an equation, substitute each proposed value into the original equation and compare both sides. For factors, expand the product to recover the original polynomial. For coordinates, plot the endpoints and check whether the midpoint and the line’s direction are plausible. Teachers can use these checks to discuss reasoning, not just the final answer.