(3x-9)(3x-9)=

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Solution for (3x-9)(3x-9)= equation: 


Simplifying
(3x + -9)(3x + -9) = 0

Reorder the terms:
(-9 + 3x)(3x + -9) = 0

Reorder the terms:
(-9 + 3x)(-9 + 3x) = 0

Multiply (-9 + 3x) * (-9 + 3x)
(-9(-9 + 3x) + 3x * (-9 + 3x)) = 0
((-9 * -9 + 3x * -9) + 3x * (-9 + 3x)) = 0
((81 + -27x) + 3x * (-9 + 3x)) = 0
(81 + -27x + (-9 * 3x + 3x * 3x)) = 0
(81 + -27x + (-27x + 9x2)) = 0

Combine like terms: -27x + -27x = -54x
(81 + -54x + 9x2) = 0

Solving
81 + -54x + 9x2 = 0

Solving for variable 'x'.

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

Factor a trinomial.
9((3 + -1x)(3 + -1x)) = 0

Ignore the factor 9.

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}

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