Enter any math problem into the Math Expression field — from basic arithmetic to algebra, calculus, and beyond — and select the Problem Type to get a structured step-by-step solution. Your result shows the final answer, a breakdown of each solving step, and the method used. Supports equations, factoring, simplification, derivatives, integrals, and more.
Final Answer
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Method Used
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Number of Solutions
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Discriminant (Δ)
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Second Solution (x₂)
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This solver covers a broad range of problem types including solving linear and quadratic equations, simplifying and expanding expressions, factoring polynomials, and basic calculus (derivatives and integrals). It also handles standard arithmetic calculations. For each type, it shows the method used and walks through each step.
Use standard keyboard notation: ^ for exponents (e.g. x^2), * for multiplication (e.g. 2*x), / for division, and parentheses for grouping (e.g. (x+1)/2). For equations, include the equals sign (e.g. 2x+3=7). Trigonometric functions like cos(x), sin(x), and log(x) are also supported.
The quadratic formula solves any equation of the form ax² + bx + c = 0. The formula is x = (−b ± √(b²−4ac)) / (2a). The value under the square root, called the discriminant (b²−4ac), tells you the number of real solutions: positive means two real roots, zero means one repeated root, and negative means no real solutions.
The discriminant (Δ = b²−4ac) determines the nature of the roots of a quadratic equation. If Δ > 0, there are two distinct real solutions. If Δ = 0, there is exactly one real solution (a repeated root). If Δ < 0, there are no real solutions — only complex (imaginary) roots.
Yes — select 'Derivative' to differentiate a function with respect to x using standard rules (power rule, chain rule, product rule), or select 'Integral' to find the indefinite integral. Results show the key rule applied at each step. For complex nested functions, the solver identifies the applicable rule automatically.
Simplifying reduces an expression to its most compact equivalent form by combining like terms, cancelling common factors, and applying arithmetic rules. For example, 3x + 2x − 4 simplifies to 5x − 4. This is useful for cleaning up intermediate steps in longer problems.
Factoring rewrites an expression as a product of simpler terms. For example, x² + 5x + 6 factors into (x + 2)(x + 3). The solver identifies common factors, uses the AC method for trinomials, or applies difference-of-squares and perfect-square trinomial patterns where applicable.
Seeing each operation laid out step-by-step helps you understand the reasoning process — not just the final answer. This is especially useful for students who want to check their work, learn a new technique, or understand where they went wrong on a problem.