(3x-3)(3x+3)=53

Solution for (3x-3)(3x+3)=53 equation:

Simplifying
(3x + -3)(3x + 3) = 53

Reorder the terms:
(-3 + 3x)(3x + 3) = 53

Reorder the terms:
(-3 + 3x)(3 + 3x) = 53

Multiply (-3 + 3x) * (3 + 3x)
(-3(3 + 3x) + 3x * (3 + 3x)) = 53
((3 * -3 + 3x * -3) + 3x * (3 + 3x)) = 53
((-9 + -9x) + 3x * (3 + 3x)) = 53
(-9 + -9x + (3 * 3x + 3x * 3x)) = 53
(-9 + -9x + (9x + 9x2)) = 53

Combine like terms: -9x + 9x = 0
(-9 + 0 + 9x2) = 53
(-9 + 9x2) = 53

Solving
-9 + 9x2 = 53

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 9x2 = 53 + 9

Combine like terms: -9 + 9 = 0
0 + 9x2 = 53 + 9
9x2 = 53 + 9

Combine like terms: 53 + 9 = 62
9x2 = 62

Divide each side by '9'.
x2 = 6.888888889

Simplifying
x2 = 6.888888889

Take the square root of each side:
x = {-2.624669291, 2.624669291}