(2x+2)(5x-5)=5

Solution for (2x+2)(5x-5)=5 equation:

Simplifying
(2x + 2)(5x + -5) = 5

Reorder the terms:
(2 + 2x)(5x + -5) = 5

Reorder the terms:
(2 + 2x)(-5 + 5x) = 5

Multiply (2 + 2x) * (-5 + 5x)
(2(-5 + 5x) + 2x * (-5 + 5x)) = 5
((-5 * 2 + 5x * 2) + 2x * (-5 + 5x)) = 5
((-10 + 10x) + 2x * (-5 + 5x)) = 5
(-10 + 10x + (-5 * 2x + 5x * 2x)) = 5
(-10 + 10x + (-10x + 10x2)) = 5

Combine like terms: 10x + -10x = 0
(-10 + 0 + 10x2) = 5
(-10 + 10x2) = 5

Solving
-10 + 10x2 = 5

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 10x2 = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 10x2 = 5 + 10
10x2 = 5 + 10

Combine like terms: 5 + 10 = 15
10x2 = 15

Divide each side by '10'.
x2 = 1.5

Simplifying
x2 = 1.5

Take the square root of each side:
x = {-1.224744871, 1.224744871}