(4x-9y)(4x-9y)=

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Solution for (4x-9y)(4x-9y)= equation: 


Simplifying
(4x + -9y)(4x + -9y) = 0

Multiply (4x + -9y) * (4x + -9y)
(4x * (4x + -9y) + -9y * (4x + -9y)) = 0
((4x * 4x + -9y * 4x) + -9y * (4x + -9y)) = 0

Reorder the terms:
((-36xy + 16x2) + -9y * (4x + -9y)) = 0
((-36xy + 16x2) + -9y * (4x + -9y)) = 0
(-36xy + 16x2 + (4x * -9y + -9y * -9y)) = 0
(-36xy + 16x2 + (-36xy + 81y2)) = 0

Reorder the terms:
(-36xy + -36xy + 16x2 + 81y2) = 0

Combine like terms: -36xy + -36xy = -72xy
(-72xy + 16x2 + 81y2) = 0

Solving
-72xy + 16x2 + 81y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4x + -9y)(4x + -9y) = 0


Subproblem 1
Set the factor '(4x + -9y)' equal to zero and attempt to solve:

Simplifying
4x + -9y = 0

Solving
4x + -9y = 0

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

Add '9y' to each side of the equation.
4x + -9y + 9y = 0 + 9y

Combine like terms: -9y + 9y = 0
4x + 0 = 0 + 9y
4x = 0 + 9y
Remove the zero:
4x = 9y

Divide each side by '4'.
x = 2.25y

Simplifying
x = 2.25y

Subproblem 2
Set the factor '(4x + -9y)' equal to zero and attempt to solve:

Simplifying
4x + -9y = 0

Solving
4x + -9y = 0

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

Add '9y' to each side of the equation.
4x + -9y + 9y = 0 + 9y

Combine like terms: -9y + 9y = 0
4x + 0 = 0 + 9y
4x = 0 + 9y
Remove the zero:
4x = 9y

Divide each side by '4'.
x = 2.25y

Simplifying
x = 2.25y
Solution
x = {2.25y, 2.25y}

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