(11x-9y)(11x-9y)=

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Solution for (11x-9y)(11x-9y)= equation: 


Simplifying
(11x + -9y)(11x + -9y) = 0

Multiply (11x + -9y) * (11x + -9y)
(11x * (11x + -9y) + -9y * (11x + -9y)) = 0
((11x * 11x + -9y * 11x) + -9y * (11x + -9y)) = 0

Reorder the terms:
((-99xy + 121x2) + -9y * (11x + -9y)) = 0
((-99xy + 121x2) + -9y * (11x + -9y)) = 0
(-99xy + 121x2 + (11x * -9y + -9y * -9y)) = 0
(-99xy + 121x2 + (-99xy + 81y2)) = 0

Reorder the terms:
(-99xy + -99xy + 121x2 + 81y2) = 0

Combine like terms: -99xy + -99xy = -198xy
(-198xy + 121x2 + 81y2) = 0

Solving
-198xy + 121x2 + 81y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11x + -9y)(11x + -9y) = 0


Subproblem 1
Set the factor '(11x + -9y)' equal to zero and attempt to solve:

Simplifying
11x + -9y = 0

Solving
11x + -9y = 0

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

Add '9y' to each side of the equation.
11x + -9y + 9y = 0 + 9y

Combine like terms: -9y + 9y = 0
11x + 0 = 0 + 9y
11x = 0 + 9y
Remove the zero:
11x = 9y

Divide each side by '11'.
x = 0.8181818182y

Simplifying
x = 0.8181818182y

Subproblem 2
Set the factor '(11x + -9y)' equal to zero and attempt to solve:

Simplifying
11x + -9y = 0

Solving
11x + -9y = 0

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

Add '9y' to each side of the equation.
11x + -9y + 9y = 0 + 9y

Combine like terms: -9y + 9y = 0
11x + 0 = 0 + 9y
11x = 0 + 9y
Remove the zero:
11x = 9y

Divide each side by '11'.
x = 0.8181818182y

Simplifying
x = 0.8181818182y
Solution
x = {0.8181818182y, 0.8181818182y}

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