Solve for x:
(-4 x - 2) (x - 7) = 0
Split into two equations:
-4 x - 2 = 0 or x - 7 = 0
Factor constant terms from the left hand side:
-2 (2 x + 1) = 0 or x - 7 = 0
Divide both sides by -2:
2 x + 1 = 0 or x - 7 = 0
Subtract 1 from both sides:
2 x = -1 or x - 7 = 0
Divide both sides by 2:
x = -1/2 or x - 7 = 0
Add 7 to both sides:
Answer: x = -1/2 or x = 7
