(5x+5)(10x-10)=0

Solution for (5x+5)(10x-10)=0 equation:

Simplifying
(5x + 5)(10x + -10) = 0

Reorder the terms:
(5 + 5x)(10x + -10) = 0

Reorder the terms:
(5 + 5x)(-10 + 10x) = 0

Multiply (5 + 5x) * (-10 + 10x)
(5(-10 + 10x) + 5x * (-10 + 10x)) = 0
((-10 * 5 + 10x * 5) + 5x * (-10 + 10x)) = 0
((-50 + 50x) + 5x * (-10 + 10x)) = 0
(-50 + 50x + (-10 * 5x + 10x * 5x)) = 0
(-50 + 50x + (-50x + 50x2)) = 0

Combine like terms: 50x + -50x = 0
(-50 + 0 + 50x2) = 0
(-50 + 50x2) = 0

Solving
-50 + 50x2 = 0

Solving for variable 'x'.

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

Add '50' to each side of the equation.
-50 + 50 + 50x2 = 0 + 50

Combine like terms: -50 + 50 = 0
0 + 50x2 = 0 + 50
50x2 = 0 + 50

Combine like terms: 0 + 50 = 50
50x2 = 50

Divide each side by '50'.
x2 = 1

Simplifying
x2 = 1

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