(3x+9y)(3x+9y)=

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Solution for (3x+9y)(3x+9y)= equation: 


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

Multiply (3x + 9y) * (3x + 9y)
(3x * (3x + 9y) + 9y * (3x + 9y)) = 0
((3x * 3x + 9y * 3x) + 9y * (3x + 9y)) = 0

Reorder the terms:
((27xy + 9x2) + 9y * (3x + 9y)) = 0
((27xy + 9x2) + 9y * (3x + 9y)) = 0
(27xy + 9x2 + (3x * 9y + 9y * 9y)) = 0
(27xy + 9x2 + (27xy + 81y2)) = 0

Reorder the terms:
(27xy + 27xy + 9x2 + 81y2) = 0

Combine like terms: 27xy + 27xy = 54xy
(54xy + 9x2 + 81y2) = 0

Solving
54xy + 9x2 + 81y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(6xy + x2 + 9y2) = 0

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

Ignore the factor 9.

Subproblem 1
Set the factor '(x + 3y)' equal to zero and attempt to solve:

Simplifying
x + 3y = 0

Solving
x + 3y = 0

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

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

Combine like terms: 3y + -3y = 0
x + 0 = 0 + -3y
x = 0 + -3y
Remove the zero:
x = -3y

Simplifying
x = -3y

Subproblem 2
Set the factor '(x + 3y)' equal to zero and attempt to solve:

Simplifying
x + 3y = 0

Solving
x + 3y = 0

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

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

Combine like terms: 3y + -3y = 0
x + 0 = 0 + -3y
x = 0 + -3y
Remove the zero:
x = -3y

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

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