Algebra Calculator
Linear Equation Solver
Enter an equation like "3x + 5 = 2x - 10" or "2(x-3) = 4x + 1"
Quadratic Equation Solver
Solve equations of form ax² + bx + c = 0
Polynomial Root Finder
Enter polynomial coefficients (highest degree first)
System of Equations Solver
Solve systems of 2 or 3 linear equations
Expression Simplifier
Enter an expression to simplify (e.g., 2x + 3x - x or 3(x+1) - 2x)
Expression Factorer
Enter an expression to factor (e.g., x² + 5x + 6 or 2x² - 8)
Features of Our Algebra Calculator
Our free algebra calculator helps you solve equations (linear, quadratic, polynomial), simplify expressions, factor polynomials, and solve systems of equations. Get step-by-step solutions to your algebra problems with detailed explanations. Solve a wide range of algebra problems with our comprehensive calculator:
- Equation Solver - Solve linear equations with variables on both sides and parentheses
- Quadratic Calculator - Find roots using the quadratic formula with discriminant analysis
- Polynomial Solver - Find roots of polynomials up to 10th degree
- System Solver - Solve systems of 2 or 3 linear equations
- Expression Simplifier - Combine like terms and simplify complex expressions
- Factor Calculator - Factor quadratic expressions and difference of squares
How to Use the Algebra Calculator
Solving Equations
Enter equations like "3x + 5 = 2x - 10" or "2(x-3) = 4x + 1" in the Equation Solver tab. Click "Advanced Solve" to see step-by-step solutions.
Quadratic Equations
Enter coefficients a, b, and c from ax² + bx + c = 0. Get real and complex roots with the quadratic formula explanation.
Polynomial Roots
Enter coefficients from highest to lowest degree. Our calculator finds all roots (real and complex) using numerical methods.
Systems of Equations
Enter 2 or 3 linear equations with variables like x, y, z. Get solutions using substitution or elimination methods.
Algebra Calculator FAQs
How does the equation solver work?
Our calculator solves linear equations by isolating the variable on one side. For equations like "3x + 5 = 2x - 10", it will subtract 2x from both sides, then subtract 5, and finally divide by the remaining coefficient.
Can it solve quadratic equations with complex roots?
Yes! When the discriminant (b² - 4ac) is negative, the calculator will display complex roots in the form a ± bi.
What's the highest degree polynomial it can solve?
Our calculator can find roots for polynomials up to 10th degree using numerical methods. For degrees 1-3, it provides exact solutions when possible.
How accurate are the polynomial roots?
Roots are calculated to 6 decimal places using the Durand-Kerner method, which provides excellent accuracy for most practical purposes.