Solve any maths problem
Equations, derivatives, integrals, matrices, triangles, primes, statistics, or a word problem the tutor breaks into parts.
Step by step
- x^{2} + x - 12 = 0
Start from the equation as given.
- a = 1,\quad b = 1,\quad c = -12
Read off the coefficients of the standard form ax² + bx + c = 0.
- \left(x - 3\right) \left(x + 4\right) = 0
Factor the quadratic into two linear factors.
- x - 3 = 0 \;\Rightarrow\; x = 3
A product is zero only when one of its factors is zero (zero-product property).
- x + 4 = 0 \;\Rightarrow\; x = -4
A product is zero only when one of its factors is zero (zero-product property).
Reveal the answer
x = 3 \quad\text{or}\quad x = -4