(10x-11y)(10x+11y)=0

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Solution for (10x-11y)(10x+11y)=0 equation: 


Simplifying
(10x + -11y)(10x + 11y) = 0

Multiply (10x + -11y) * (10x + 11y)
(10x * (10x + 11y) + -11y * (10x + 11y)) = 0
((10x * 10x + 11y * 10x) + -11y * (10x + 11y)) = 0

Reorder the terms:
((110xy + 100x2) + -11y * (10x + 11y)) = 0
((110xy + 100x2) + -11y * (10x + 11y)) = 0
(110xy + 100x2 + (10x * -11y + 11y * -11y)) = 0
(110xy + 100x2 + (-110xy + -121y2)) = 0

Reorder the terms:
(110xy + -110xy + 100x2 + -121y2) = 0

Combine like terms: 110xy + -110xy = 0
(0 + 100x2 + -121y2) = 0
(100x2 + -121y2) = 0

Solving
100x2 + -121y2 = 0

Solving for variable 'x'.

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

Add '121y2' to each side of the equation.
100x2 + -121y2 + 121y2 = 0 + 121y2

Combine like terms: -121y2 + 121y2 = 0
100x2 + 0 = 0 + 121y2
100x2 = 0 + 121y2
Remove the zero:
100x2 = 121y2

Divide each side by '100'.
x2 = 1.21y2

Simplifying
x2 = 1.21y2

Take the square root of each side:
x = {-1.1y, 1.1y}

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