One on quadratic equation

June 7, 2026Mathematics

ScanSolve AI Answer

Answer

x = 7 \text{ or } x = -2

3 steps

Solve for $x$ :

x^2 - 5x = 14

Rearrange the equation into the standard quadratic form $ax^2 + bx + c = 0$ .
$x^2 - 5x - 14 = 0$
Factor the quadratic expression.
We need two numbers that multiply to $-14$ and add to $-5$ . These numbers are $-7$ and 2.
$(x - 7)(x + 2) = 0$
Set each factor equal to zero and solve for $x$ .
$x - 7 = 0 \quad \text{or} \quad x + 2 = 0$ $x = 7 \quad \text{or} \quad x = -2$
The solutions for $x$ are $\boxed{x = 7 \text{ or } x = -2}$ .