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

Solution for (2a-2)(a+1)=0 equation:

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

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

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

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