(3x-3)(5x+5)=0

Solution for (3x-3)(5x+5)=0 equation:

Simplifying
(3x + -3)(5x + 5) = 0

Reorder the terms:
(-3 + 3x)(5x + 5) = 0

Reorder the terms:
(-3 + 3x)(5 + 5x) = 0

Multiply (-3 + 3x) * (5 + 5x)
(-3(5 + 5x) + 3x * (5 + 5x)) = 0
((5 * -3 + 5x * -3) + 3x * (5 + 5x)) = 0
((-15 + -15x) + 3x * (5 + 5x)) = 0
(-15 + -15x + (5 * 3x + 5x * 3x)) = 0
(-15 + -15x + (15x + 15x2)) = 0

Combine like terms: -15x + 15x = 0
(-15 + 0 + 15x2) = 0
(-15 + 15x2) = 0

Solving
-15 + 15x2 = 0

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 15x2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 15x2 = 0 + 15
15x2 = 0 + 15

Combine like terms: 0 + 15 = 15
15x2 = 15

Divide each side by '15'.
x2 = 1

Simplifying
x2 = 1

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