(3n-3)(3n+3)=0

Solution for (3n-3)(3n+3)=0 equation:

Simplifying
(3n + -3)(3n + 3) = 0

Reorder the terms:
(-3 + 3n)(3n + 3) = 0

Reorder the terms:
(-3 + 3n)(3 + 3n) = 0

Multiply (-3 + 3n) * (3 + 3n)
(-3(3 + 3n) + 3n * (3 + 3n)) = 0
((3 * -3 + 3n * -3) + 3n * (3 + 3n)) = 0
((-9 + -9n) + 3n * (3 + 3n)) = 0
(-9 + -9n + (3 * 3n + 3n * 3n)) = 0
(-9 + -9n + (9n + 9n2)) = 0

Combine like terms: -9n + 9n = 0
(-9 + 0 + 9n2) = 0
(-9 + 9n2) = 0

Solving
-9 + 9n2 = 0

Solving for variable 'n'.

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

Add '9' to each side of the equation.
-9 + 9 + 9n2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 9n2 = 0 + 9
9n2 = 0 + 9

Combine like terms: 0 + 9 = 9
9n2 = 9

Divide each side by '9'.
n2 = 1

Simplifying
n2 = 1

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