Answer:
x = -1 or x = 6/5
Explanation:
Solve for x:
10 x^2 - 2 x - 12 = 0
The left hand side factors into a product with three terms:
2 (x + 1) (5 x - 6) = 0
Divide both sides by 2:
(x + 1) (5 x - 6) = 0
Split into two equations:
x + 1 = 0 or 5 x - 6 = 0
Subtract 1 from both sides:
x = -1 or 5 x - 6 = 0
Add 6 to both sides:
x = -1 or 5 x = 6
Divide both sides by 5:
Answer: x = -1 or x = 6/5