Solve for x. Write the smaller solution first, and the larger solution second. (x-7) (-4x-2) = 0

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