(5x-5)(9x+9)=0

Solution for (5x-5)(9x+9)=0 equation:

Simplifying
(5x + -5)(9x + 9) = 0

Reorder the terms:
(-5 + 5x)(9x + 9) = 0

Reorder the terms:
(-5 + 5x)(9 + 9x) = 0

Multiply (-5 + 5x) * (9 + 9x)
(-5(9 + 9x) + 5x * (9 + 9x)) = 0
((9 * -5 + 9x * -5) + 5x * (9 + 9x)) = 0
((-45 + -45x) + 5x * (9 + 9x)) = 0
(-45 + -45x + (9 * 5x + 9x * 5x)) = 0
(-45 + -45x + (45x + 45x2)) = 0

Combine like terms: -45x + 45x = 0
(-45 + 0 + 45x2) = 0
(-45 + 45x2) = 0

Solving
-45 + 45x2 = 0

Solving for variable 'x'.

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

Add '45' to each side of the equation.
-45 + 45 + 45x2 = 0 + 45

Combine like terms: -45 + 45 = 0
0 + 45x2 = 0 + 45
45x2 = 0 + 45

Combine like terms: 0 + 45 = 45
45x2 = 45

Divide each side by '45'.
x2 = 1

Simplifying
x2 = 1

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