Question

Solve for x: −3|2x + 6| = −12

x = 1 and x = 5

x = −1 and x = −5

x = −9 and x = 3

No solution

Answer 1

-3 | 2x + 6 | = -12 ---- divide by -3
| 2x + 6 | = -12/-3
| 2x + 6 | = 4

(2x + 6) = 4 -(2x + 6) = 4
2x = 4 - 6 -2x - 6 = 4
2x = -2 -2x = 4 + 6
x = -1 -2x = 10
x = -5

solutions are x = -1 and x = -5