(-9x^2-10y)(-9x^2-10y)=0

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Solution for (-9x^2-10y)(-9x^2-10y)=0 equation:


Simplifying
(-9x2 + -10y)(-9x2 + -10y) = 0

Multiply (-9x2 + -10y) * (-9x2 + -10y)
(-9x2 * (-9x2 + -10y) + -10y * (-9x2 + -10y)) = 0
((-9x2 * -9x2 + -10y * -9x2) + -10y * (-9x2 + -10y)) = 0

Reorder the terms:
((90x2y + 81x4) + -10y * (-9x2 + -10y)) = 0
((90x2y + 81x4) + -10y * (-9x2 + -10y)) = 0
(90x2y + 81x4 + (-9x2 * -10y + -10y * -10y)) = 0
(90x2y + 81x4 + (90x2y + 100y2)) = 0

Reorder the terms:
(90x2y + 90x2y + 81x4 + 100y2) = 0

Combine like terms: 90x2y + 90x2y = 180x2y
(180x2y + 81x4 + 100y2) = 0

Solving
180x2y + 81x4 + 100y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9x2 + 10y)(9x2 + 10y) = 0

Subproblem 1

Set the factor '(9x2 + 10y)' equal to zero and attempt to solve: Simplifying 9x2 + 10y = 0 Solving 9x2 + 10y = 0 Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 9x2 + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 9x2 + 0 = 0 + -10y 9x2 = 0 + -10y Remove the zero: 9x2 = -10y Divide each side by '9'. x2 = -1.111111111y Simplifying x2 = -1.111111111y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(9x2 + 10y)' equal to zero and attempt to solve: Simplifying 9x2 + 10y = 0 Solving 9x2 + 10y = 0 Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 9x2 + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 9x2 + 0 = 0 + -10y 9x2 = 0 + -10y Remove the zero: 9x2 = -10y Divide each side by '9'. x2 = -1.111111111y Simplifying x2 = -1.111111111y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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