Type any equation and get step-by-step solutions with explanations. Learn the "why" behind every step — not just the answer.
Algebra is a fundamental branch of mathematics that forms the backbone of secondary and tertiary education curricula across Africa. Whether you're preparing for WAEC, KCSE, South African Matric examinations, or university entrance tests, strong algebra skills are essential.
This equation solver handles linear equations, quadratic equations, simultaneous systems, and inequalities. Each solution includes detailed step-by-step working with explanations of why each step is taken — helping you truly understand the process, not just memorize it.
The built-in practice mode generates random problems at three difficulty levels, so you can drill until you're confident. The interactive graph helps visual learners see what equations look like geometrically.
The quadratic formula is x = (-b ± √(b²-4ac)) / 2a, used to solve equations of the form ax² + bx + c = 0. The expression b²-4ac under the square root is called the discriminant. If it's positive, there are two real solutions; if zero, one repeated solution; if negative, complex roots.
Three main methods: substitution (solve one equation for a variable, substitute into the other), elimination (add/subtract equations to cancel a variable), and Cramer's Rule (using determinants). This solver uses Cramer's Rule for 2×2 systems, which is systematic and exam-efficient.
You flip (reverse) the inequality sign when you multiply or divide both sides by a negative number. For example, if -2x > 6, dividing both sides by -2 gives x < -3 (sign flips). This is one of the most common mistakes in exams.
The discriminant D = b² - 4ac tells you the nature of roots without solving: D > 0 means two distinct real roots, D = 0 means one repeated root (the parabola touches the x-axis), and D < 0 means no real roots (complex/imaginary roots).