How do you solve this equation by factoring?

112x^2- 252= 0

Expert Answers

An illustration of the letter 'A' in a speech bubbles

112x^2- 252= 0

Reorder the terms

-252+112x^2 = 0

Move all terms to the right of the equals sign that do not contain a variable

-252+112x^2 = 0

+252               +252

112x^2 = 252

divide each side by 112

112x^2/112 = 252/112

x^2 = 2.25

Now you can solve for x using the difference of 2 squares

(1.5+x)(-1.5+x) = 0

-1.5+x = 0   1.5+x = 0

x = 1.5      x = -1.5

(1.5, -1.5)

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial