Equation Solver
Solve algebraic equations with variable x. Linear, quadratic, numeric solving with steps.
How to Use
Enter your values in the fields above and click Calculate to get instant results. All computations run locally in your browser. No data is ever uploaded or stored.
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Equation Solving Methods
CalcSolver's equation solver handles linear equations (ax + b = c), quadratic equations (ax² + bx + c = 0), and systems of two linear equations. It shows step-by-step solutions, making it ideal for learning algebra fundamentals.
For quadratic equations, the solver applies the quadratic formula: x = (-b ± √(b²−4ac)) / 2a. The discriminant (b²−4ac) predicts the nature of solutions: positive → 2 real roots, zero → 1 repeated root, negative → 2 complex roots. Example: x² − 5x + 6 = 0 → x = 2 or x = 3.
For systems of equations, the solver uses substitution or elimination methods. Practical applications include mixture problems (finding ingredient ratios), speed/distance calculations, and economics (supply-demand equilibrium points). Practice with CalcSolver's fraction calculator for fraction-based equations and the scientific calculator for checking numerical solutions.
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Frequently Asked Questions
What types of equations can this solver handle?
This equation solver handles linear equations (ax + b = c), quadratic equations (ax² + bx + c = 0), and systems of linear equations with two unknowns.
How does the quadratic formula work?
For ax² + bx + c = 0, the solutions are x = (-b ± √(b²-4ac)) / 2a. The discriminant (b²-4ac) determines the number of real solutions: positive gives 2, zero gives 1, negative gives no real solutions.
Can it solve equations with complex numbers?
When the discriminant is negative, the quadratic equation has complex solutions. Our solver shows both real and complex solutions when applicable.