Question

Solve by factoring x^2-7x=-12

Answer 1

Add 12 to both sides first before factoring

Answer 2

x^2 - 7x + 12 = 0

Answer 3

Find factors of 12 that add up to - 7

Answer 4

-4 + -3 = -7
(-4)(-3) = 12

Answer 5

Find the factors of x^2:
x*x

Write the factors of x^2 -7x + 12 as the product of two binomials:
(x-4)(x-3) = 0

Answer 6

Use Zero Product Property ab = 0 to set each binomial equal to zero:

x - 4 = 0
x - 3 = 0

Answer 7

Solve for x:

x = 4
x = 3