# How do you solve (x-1)(x+4)=14?

Feb 8, 2017

The answer is $x = - 6 \mathmr{and} 3$

#### Explanation:

First, use the double distributive property (FOIL method) to multiply $\left(x - 1\right)$ and $\left(x + 4\right)$ together, which gives you ${x}^{2}$$+$$4 x$$-$$x$$-$$4$$=$$14$

Simplify the like terms: ${x}^{2}$$+$$3 x$$-$$4$$=$$14$

Next, set the equation equal to zero by subtracting 14 from both sides: ${x}^{2}$$+$$3 x$$-$$18$$=$$0$

Then, factor the equation: $\left(x + 6\right) \left(x - 3\right)$$=$$0$

Set each quantity each to zero and solve for $x$