# How do you use the zero product property to serve the equation (x+4)(x-3)= -10?

Oct 19, 2015

You first work toward an $f \left(x\right) = 0$ situation.

#### Explanation:

Step 1: Work out the left part of the equation:
$\to {x}^{2} + x - 12 = - 10$

Step 2: Add $10$ on both sides:
$\to {x}^{2} + x - 2 = 0$

Step 3: Factorize:
$\to \left(x + 2\right) \left(x - 1\right) = 0$

Step 4: If a product $= 0$ then one of the factors must be $= 0$
So either : $x + 2 = 0 \to x = - 2$ or : $x - 1 = 0 \to x = + 1$