# How do you factor and solve x^2 + 3x = 28 ?

Jul 14, 2016

(x - 4)(x + 7)

#### Explanation:

$y = {x}^{2} + 3 x - 28 = 0$
To factor it, find 2 numbers knowing sum (b = 3) and product (c = -28).
They make the factor pair: (-4, 7).
$y = \left(x - 4\right) \left(x + 7\right)$
The 2 real roots are x = 4 and x = -7