(3x-6y)(3x-6y)=

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Solution for (3x-6y)(3x-6y)= equation: 


Simplifying
(3x + -6y)(3x + -6y) = 0

Multiply (3x + -6y) * (3x + -6y)
(3x * (3x + -6y) + -6y * (3x + -6y)) = 0
((3x * 3x + -6y * 3x) + -6y * (3x + -6y)) = 0

Reorder the terms:
((-18xy + 9x2) + -6y * (3x + -6y)) = 0
((-18xy + 9x2) + -6y * (3x + -6y)) = 0
(-18xy + 9x2 + (3x * -6y + -6y * -6y)) = 0
(-18xy + 9x2 + (-18xy + 36y2)) = 0

Reorder the terms:
(-18xy + -18xy + 9x2 + 36y2) = 0

Combine like terms: -18xy + -18xy = -36xy
(-36xy + 9x2 + 36y2) = 0

Solving
-36xy + 9x2 + 36y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-4xy + x2 + 4y2) = 0

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

Ignore the factor 9.

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

Simplifying
x + -2y = 0

Solving
x + -2y = 0

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

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

Combine like terms: -2y + 2y = 0
x + 0 = 0 + 2y
x = 0 + 2y
Remove the zero:
x = 2y

Simplifying
x = 2y

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

Simplifying
x + -2y = 0

Solving
x + -2y = 0

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

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

Combine like terms: -2y + 2y = 0
x + 0 = 0 + 2y
x = 0 + 2y
Remove the zero:
x = 2y

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

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