(-2x2 - 4x + 13) + (12x² + 2x – 25) in steps

x = -1 or x = 6/5

Step-by-step 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:

x = -1 or x = 6/5