(-a-1)(2a-2)=

Solution for (-a-1)(2a-2)= equation:

Simplifying
(-1a + -1)(2a + -2) = 0

Reorder the terms:
(-1 + -1a)(2a + -2) = 0

Reorder the terms:
(-1 + -1a)(-2 + 2a) = 0

Multiply (-1 + -1a) * (-2 + 2a)
(-1(-2 + 2a) + -1a * (-2 + 2a)) = 0
((-2 * -1 + 2a * -1) + -1a * (-2 + 2a)) = 0
((2 + -2a) + -1a * (-2 + 2a)) = 0
(2 + -2a + (-2 * -1a + 2a * -1a)) = 0
(2 + -2a + (2a + -2a2)) = 0

Combine like terms: -2a + 2a = 0
(2 + 0 + -2a2) = 0
(2 + -2a2) = 0

Solving
2 + -2a2 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -2a2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2a2 = 0 + -2
-2a2 = 0 + -2

Combine like terms: 0 + -2 = -2
-2a2 = -2

Divide each side by '-2'.
a2 = 1

Simplifying
a2 = 1

Take the square root of each side:
a = {-1, 1}