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📐 Equation Solver

Solve linear equations, quadratic equations, and 2×2 systems step by step. See exact solutions, discriminants, determinants, and worked algebra.

Equation Solver

Enter coefficients and instantly solve linear equations, quadratic equations, or a system of two or three linear equations in two or three unknowns. See the final answer plus step‑by‑step working using standard algebra formulas.

Equation type

Solve a single linear equation ax + b = 0.

Coefficients

Editable fields
a (coefficient of x)
b (constant term)

Equation: 1·x + 0 = 0

Solution

Solution: x = -0

Step‑by‑step working

  1. Start with ax + b = 0.
  2. Here a = 1, b = 0.
  3. Subtract b from both sides: ax = −b.
  4. Divide by a: x = −b / a.
  5. Compute x = −(0) / 1 = -0.

How to use this tool

  1. Choose the equation type: linear equation, quadratic equation, or a 2×2 system of equations.
  2. Enter the coefficients exactly as they appear in your exam or homework equation.
  3. Scroll to the solution panel to see the final answer plus step‑by‑step algebra working.

Great online equation solver for homework

  • Use this online equation solver to verify linear equation solutions and quadratic roots in seconds.
  • See every intermediate value, discriminant, and determinant so you can follow the reasoning instead of just memorising formulas.
  • Use it as a teaching aid for explaining Cramer's rule, the quadratic formula calculator steps, and system of equations methods.

What this equation calculator supports

  • Single‑variable linear equations of the form ax + b = 0 solved as x = −b/a.
  • Quadratic equations with real or complex roots via the quadratic formula using the discriminant.
  • Systems of two or three linear equations in two or three variables using determinants (Cramer's rule system of equations calculator).

FAQ

Can this equation solver handle higher‑degree polynomials?
This equation calculator focuses on linear equations, quadratic equations, and 2×2 systems. For higher‑degree polynomials, try factoring them into linear and quadratic pieces where possible.
Does the quadratic equation solver show complex solutions?
Yes. When the discriminant of a quadratic is negative, the quadratic calculator expresses the two complex conjugate roots in standard a + bi form.
Is this online equation solver suitable for teaching?
The step list is designed for classrooms and self‑study, walking through each formula, substitution, and simplification so students see how to solve equations, not just the final number.

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Equation Solver - Linear, Quadratic & 2×2 System Calculator