Answer:
x = -6 and x = 1
Step-by-step explanation:
Move everything to the left side of the equation by subtracting (-10x + 12)
2x² = -10x + 12
2x² + 10x - 12 = 0
Divide each side by 2:
x² + 5x - 6
Find 2 factors of -6 that add up to 5. These factors are 6 and -1
x² + 5x - 6
(x + 6)(x - 1)
Set this equal to 0 and solve for x
(x + 6)(x - 1)
x + 6 = 0
x = -6
x - 1 = 0
x = 1
So, the solutions to the equation are x = -6 and x = 1
