Question

What is the solution to –4|–2x + 6| = –24?

A. x = 0
B. x = 0 or x = –6
C. x = 0 or x = 6
D. no solution

Answer 1

I think the answer was the c. X = 0 or x =6

Answer 2

Answer: C. x = 0 or x = 6

Explanation/Steps:

-4|-2x+6|=-24 ← Divide both sides by -4

|-2x+6|=6

Then we use the rule where |f(x)| = a ⇒ f(x)=-a or f(x) = a

-2x+6 = -6 or -2x+6 = 6

First way:

-2x+6 = -6 ← Subtract 6 from both sides

-2x + 6 - 6 = -6 - 6

-2x = -12 ← Divide both sides by -2

x = 6

Second way:

-2x+6 = 6 ← Subtract 6 from both sides

-2x + 6 - 6 = 6 - 6

-2x = 0 ← Divide both sides by -2

x = 0