Question

Solve for x: |4x + 12| = 16 (5 points) x = 7, x = −7 x = 1, x = −1 x = 1, x = −7 x = −1, x = 7

Answer 1

x =1 x = -7

Explanation:

|4x + 12| = 16

Absolute value equations have two solutions, one positive and one negative

4x+12 = 16 4x+12 = -16

Subtract 12 from each side

4x+12-12 = 16-12 4x+12-12 = -16-12

4x =4 4x =-28

Divide by 4

4x/4 = 4/4 4x/4 = -28/4

x =1 x = -7