Respuesta :

Use the definition of absolute value.

• If 4x + 3 ≥ 0, then

|4x + 3| = 15

4x + 3 = 15

4x = 12

x = 3

• Otherwise, if 4x + 3 < 0, then

|4x + 3| = 15

-(4x + 3) = 15

4x + 3 = -15

4x = -18

x = -9/2

Then the solutions are {-9/2, 3}.