8((x-3)(x-3))=

Solution for 8((x-3)(x-3))= equation:

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

Reorder the terms:
8((-3 + x)(x + -3)) = 0

Reorder the terms:
8((-3 + x)(-3 + x)) = 0

Multiply (-3 + x) * (-3 + x)
8((-3(-3 + x) + x(-3 + x))) = 0
8(((-3 * -3 + x * -3) + x(-3 + x))) = 0
8(((9 + -3x) + x(-3 + x))) = 0
8((9 + -3x + (-3 * x + x * x))) = 0
8((9 + -3x + (-3x + x2))) = 0

Combine like terms: -3x + -3x = -6x
8((9 + -6x + x2)) = 0
(9 * 8 + -6x * 8 + x2 * 8) = 0
(72 + -48x + 8x2) = 0

Solving
72 + -48x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(9 + -6x + x2) = 0

Factor a trinomial.
8((3 + -1x)(3 + -1x)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {3, 3}