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

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Solution for (11x+9y)(11x-9y)=0 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 = 0
(0 + 121x2 + -81y2) = 0
(121x2 + -81y2) = 0

Solving
121x2 + -81y2 = 0

Solving for variable 'x'.

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

Add '81y2' to each side of the equation.
121x2 + -81y2 + 81y2 = 0 + 81y2

Combine like terms: -81y2 + 81y2 = 0
121x2 + 0 = 0 + 81y2
121x2 = 0 + 81y2
Remove the zero:
121x2 = 81y2

Divide each side by '121'.
x2 = 0.6694214876y2

Simplifying
x2 = 0.6694214876y2

Take the square root of each side:
x = {-0.818181818y, 0.818181818y}

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