# How do you solve 3x^2 - 6x - 24 = 0 by factoring?

Oct 8, 2015

$x = - 2 \mathmr{and} x = 4$

#### Explanation:

Use factorizing of trinomial to write the expression as

$\left(3 x + 6\right) \left(x - 4\right) = 0$

This is now a product of 2 factors equal to zero so the only way this can be so is if either factor is zero.

$3 x + 6 = 0 \implies x = - 2$

$x - 4 = 0 \implies x = 4$