Answer : x = 1, -2
Step-by-step
-6=-3x^2 -3x
Rewrite equation:
- 3x^2 - 3x = - 6
Add 6 to both sides of the equation:
- 3x^2 - 3x + 6 = 0
Factor - 3 out of
- 3 ( x^2 + x - 2 ) = 0
Factor
- 3 ( x - 1 ) ( x + 2 ) = 0
x - 1 = 0 x + 2 = 0
x = 1 x = - 2
The final solution is all the values that make - 3 ( x - 1 ) ( x + 2 ) = 0 true.
x = 1, - 2