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

1 Answer
Feb 8, 2017

The answer is x=-6 and 3

Explanation:

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

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

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

Then, factor the equation: (x+6)(x-3)=0

Set each quantity each to zero and solve for x