Solve for x: −3|2x + 6| = −12

x = 1 and x = 5

x = −1 and x = −5

x = −9 and x = 3

No solution

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

texaschic101 · Answer

-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