Solve for x:
(2 x-1) (3 x+2) = x+292
Expand out terms of the left hand side:
6 x^2+x-2 = x+292
Subtract x+292 from both sides:
6 x^2-294 = 0
The left hand side factors into a product with three terms:
6 (x-7) (x+7) = 0
Divide both sides by 6:
(x-7) (x+7) = 0
Split into two equations:
x-7 = 0 or x+7 = 0
Add 7 to both sides:
x = 7 or x+7 = 0
Subtract 7 from both sides:
Answer: | x = 7 or x = -7
