3(3x-3)(3x+3)=x^2-1

Solution for 3(3x-3)(3x+3)=x^2-1 equation:

Simplifying
3(3x + -3)(3x + 3) = x2 + -1

Reorder the terms:
3(-3 + 3x)(3x + 3) = x2 + -1

Reorder the terms:
3(-3 + 3x)(3 + 3x) = x2 + -1

Multiply (-3 + 3x) * (3 + 3x)
3(-3(3 + 3x) + 3x * (3 + 3x)) = x2 + -1
3((3 * -3 + 3x * -3) + 3x * (3 + 3x)) = x2 + -1
3((-9 + -9x) + 3x * (3 + 3x)) = x2 + -1
3(-9 + -9x + (3 * 3x + 3x * 3x)) = x2 + -1
3(-9 + -9x + (9x + 9x2)) = x2 + -1

Combine like terms: -9x + 9x = 0
3(-9 + 0 + 9x2) = x2 + -1
3(-9 + 9x2) = x2 + -1
(-9 * 3 + 9x2 * 3) = x2 + -1
(-27 + 27x2) = x2 + -1

Reorder the terms:
-27 + 27x2 = -1 + x2

Solving
-27 + 27x2 = -1 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
-27 + 27x2 + -1x2 = -1 + x2 + -1x2

Combine like terms: 27x2 + -1x2 = 26x2
-27 + 26x2 = -1 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-27 + 26x2 = -1 + 0
-27 + 26x2 = -1

Add '27' to each side of the equation.
-27 + 27 + 26x2 = -1 + 27

Combine like terms: -27 + 27 = 0
0 + 26x2 = -1 + 27
26x2 = -1 + 27

Combine like terms: -1 + 27 = 26
26x2 = 26

Divide each side by '26'.
x2 = 1

Simplifying
x2 = 1

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