(9xy^2-8y)(9xy^2+8y)=

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Solution for (9xy^2-8y)(9xy^2+8y)= equation:


Simplifying
(9xy2 + -8y)(9xy2 + 8y) = 0

Multiply (9xy2 + -8y) * (9xy2 + 8y)
(9xy2 * (9xy2 + 8y) + -8y * (9xy2 + 8y)) = 0
((9xy2 * 9xy2 + 8y * 9xy2) + -8y * (9xy2 + 8y)) = 0

Reorder the terms:
((72xy3 + 81x2y4) + -8y * (9xy2 + 8y)) = 0
((72xy3 + 81x2y4) + -8y * (9xy2 + 8y)) = 0
(72xy3 + 81x2y4 + (9xy2 * -8y + 8y * -8y)) = 0
(72xy3 + 81x2y4 + (-72xy3 + -64y2)) = 0

Reorder the terms:
(72xy3 + -72xy3 + 81x2y4 + -64y2) = 0

Combine like terms: 72xy3 + -72xy3 = 0
(0 + 81x2y4 + -64y2) = 0
(81x2y4 + -64y2) = 0

Solving
81x2y4 + -64y2 = 0

Solving for variable 'x'.

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

Add '64y2' to each side of the equation.
81x2y4 + -64y2 + 64y2 = 0 + 64y2

Combine like terms: -64y2 + 64y2 = 0
81x2y4 + 0 = 0 + 64y2
81x2y4 = 0 + 64y2
Remove the zero:
81x2y4 = 64y2

Divide each side by '81y4'.
x2 = 0.7901234568y-2

Simplifying
x2 = 0.7901234568y-2

Take the square root of each side:
x = {-0.888888889y-1, 0.888888889y-1}

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