(2x+9y)(2x+9y)=

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Solution for (2x+9y)(2x+9y)= equation: 


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

Multiply (2x + 9y) * (2x + 9y)
(2x * (2x + 9y) + 9y * (2x + 9y)) = 0
((2x * 2x + 9y * 2x) + 9y * (2x + 9y)) = 0

Reorder the terms:
((18xy + 4x2) + 9y * (2x + 9y)) = 0
((18xy + 4x2) + 9y * (2x + 9y)) = 0
(18xy + 4x2 + (2x * 9y + 9y * 9y)) = 0
(18xy + 4x2 + (18xy + 81y2)) = 0

Reorder the terms:
(18xy + 18xy + 4x2 + 81y2) = 0

Combine like terms: 18xy + 18xy = 36xy
(36xy + 4x2 + 81y2) = 0

Solving
36xy + 4x2 + 81y2 = 0

Solving for variable 'x'.

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


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

Simplifying
2x + 9y = 0

Solving
2x + 9y = 0

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

Add '-9y' to each side of the equation.
2x + 9y + -9y = 0 + -9y

Combine like terms: 9y + -9y = 0
2x + 0 = 0 + -9y
2x = 0 + -9y
Remove the zero:
2x = -9y

Divide each side by '2'.
x = -4.5y

Simplifying
x = -4.5y

Subproblem 2
Set the factor '(2x + 9y)' equal to zero and attempt to solve:

Simplifying
2x + 9y = 0

Solving
2x + 9y = 0

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

Add '-9y' to each side of the equation.
2x + 9y + -9y = 0 + -9y

Combine like terms: 9y + -9y = 0
2x + 0 = 0 + -9y
2x = 0 + -9y
Remove the zero:
2x = -9y

Divide each side by '2'.
x = -4.5y

Simplifying
x = -4.5y
Solution
x = {-4.5y, -4.5y}

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