9((x-2)(x-2))=

Solution for 9((x-2)(x-2))= equation:

Simplifying
9((x + -2)(x + -2)) = 0

Reorder the terms:
9((-2 + x)(x + -2)) = 0

Reorder the terms:
9((-2 + x)(-2 + x)) = 0

Multiply (-2 + x) * (-2 + x)
9((-2(-2 + x) + x(-2 + x))) = 0
9(((-2 * -2 + x * -2) + x(-2 + x))) = 0
9(((4 + -2x) + x(-2 + x))) = 0
9((4 + -2x + (-2 * x + x * x))) = 0
9((4 + -2x + (-2x + x2))) = 0

Combine like terms: -2x + -2x = -4x
9((4 + -4x + x2)) = 0
(4 * 9 + -4x * 9 + x2 * 9) = 0
(36 + -36x + 9x2) = 0

Solving
36 + -36x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(4 + -4x + x2) = 0

Factor a trinomial.
9((2 + -1x)(2 + -1x)) = 0

Ignore the factor 9.
Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {2, 2}