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Equation Solver

Solve linear, quadratic, 2×2, and 3×3 equation systems step by step. Get real or complex roots, determinants, and downloadable worked solutions.

Equation type

Solve a single linear equation ax + b = 0.
Quick examples:

Coefficients

Editable fields

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 linear, quadratic, 2×2, or 3×3 mode and optionally load a quick preset.
  2. Enter coefficients exactly as written in your equation or system.
  3. Copy or download the solution panel with the full step-by-step working.

Great online equation solver for homework

  • Use this equation solver to verify linear solutions, quadratic roots, and multi-variable system answers in seconds.
  • See discriminants and determinants with each intermediate step so the algebra is transparent.
  • Use presets for common cases like no-solution, infinite-solution, and complex-root examples.

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).

FAQ

Can this equation solver handle higher-degree polynomials?
This equation calculator focuses on linear equations, quadratic equations, and 2x2 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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