(4x+4)(5x-5)=0

Solution for (4x+4)(5x-5)=0 equation:

Simplifying
(4x + 4)(5x + -5) = 0

Reorder the terms:
(4 + 4x)(5x + -5) = 0

Reorder the terms:
(4 + 4x)(-5 + 5x) = 0

Multiply (4 + 4x) * (-5 + 5x)
(4(-5 + 5x) + 4x * (-5 + 5x)) = 0
((-5 * 4 + 5x * 4) + 4x * (-5 + 5x)) = 0
((-20 + 20x) + 4x * (-5 + 5x)) = 0
(-20 + 20x + (-5 * 4x + 5x * 4x)) = 0
(-20 + 20x + (-20x + 20x2)) = 0

Combine like terms: 20x + -20x = 0
(-20 + 0 + 20x2) = 0
(-20 + 20x2) = 0

Solving
-20 + 20x2 = 0

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 20x2 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 20x2 = 0 + 20
20x2 = 0 + 20

Combine like terms: 0 + 20 = 20
20x2 = 20

Divide each side by '20'.
x2 = 1

Simplifying
x2 = 1

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