Algebra calculators
Solve equations step by step. The linear equation solver balances both sides to find x and spots equations with no solution or infinitely many. The quadratic equation solver uses the discriminant and the quadratic formula to give exact roots, including surds and complex numbers, together with the vertex of the parabola. Every root is checked by substitution.
Linear Equation Solver
Solve linear equations of the form ax + b = cx + d, including fractions, with every balancing step shown and the answer checked by substitution.
Quadratic Equation Solver
Solve ax² + bx + c = 0 with the quadratic formula.
Simultaneous Equations Solver
Solve systems of 2 or 3 linear equations by elimination with exact fractions.
Cubic Equation Solver
Solve cubic equations: exact roots via the rational root theorem and factor theorem, complex roots, or accurate decimals.
Matrix Calculator
Find the inverse, determinant, transpose or RREF of a matrix, or add and multiply matrices.
Determinant Calculator
Find the determinant of a square matrix with cofactor expansion steps, checked by row reduction.
Arithmetic Sequence Calculator
Find the nth term and the sum of an arithmetic sequence from the first term and common difference.
Geometric Sequence Calculator
Find the nth term, the sum of n terms and the sum to infinity of a geometric sequence.
Complex Number Calculator
Add, subtract, multiply and divide complex numbers exactly, and find the modulus, argument and polar form.
Vector Calculator
Find the dot product, cross product, magnitudes, sum and angle between two 2D or 3D vectors, with steps and a vector diagram.
Inequality Solver
Solve linear inequalities like 3x − 4 < x + 6 step by step, with interval notation and an animated number line.
Vertex Form Calculator
Convert y = ax² + bx + c to vertex form a(x − h)² + k by completing the square.
Exponential Growth & Decay Calculator
Calculate exponential growth or decay from a starting amount, a percentage rate and time.
Polynomial Factoring Calculator
Factor polynomials completely: common factors, the rational root theorem, quadratics and differences of squares.
Expand Brackets Calculator
Expand and simplify brackets like (2x + 3)(x − 4) or (x + 1)³, collect like terms, and check the answer at sample values.
Equation Solver
Solve equations in x such as x³ − 2x = 4, 2^x = x + 3 or cos x = x/2.
Absolute Value Equation Solver
Solve absolute value equations |ax + b| = c by splitting into two cases, with no-solution cases explained and a V-shaped graph.