(8x-11y)(8x+11y)=0

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Solution for (8x-11y)(8x+11y)=0 equation:


Simplifying
(8x + -11y)(8x + 11y) = 0

Multiply (8x + -11y) * (8x + 11y)
(8x * (8x + 11y) + -11y * (8x + 11y)) = 0
((8x * 8x + 11y * 8x) + -11y * (8x + 11y)) = 0

Reorder the terms:
((88xy + 64x2) + -11y * (8x + 11y)) = 0
((88xy + 64x2) + -11y * (8x + 11y)) = 0
(88xy + 64x2 + (8x * -11y + 11y * -11y)) = 0
(88xy + 64x2 + (-88xy + -121y2)) = 0

Reorder the terms:
(88xy + -88xy + 64x2 + -121y2) = 0

Combine like terms: 88xy + -88xy = 0
(0 + 64x2 + -121y2) = 0
(64x2 + -121y2) = 0

Solving
64x2 + -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.
64x2 + -121y2 + 121y2 = 0 + 121y2

Combine like terms: -121y2 + 121y2 = 0
64x2 + 0 = 0 + 121y2
64x2 = 0 + 121y2
Remove the zero:
64x2 = 121y2

Divide each side by '64'.
x2 = 1.890625y2

Simplifying
x2 = 1.890625y2

Take the square root of each side:
x = {-1.375y, 1.375y}

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