9y^4+24x^2y^2+16x^4=0

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Solution for 9y^4+24x^2y^2+16x^4=0 equation:


Simplifying
9y4 + 24x2y2 + 16x4 = 0

Reorder the terms:
24x2y2 + 16x4 + 9y4 = 0

Solving
24x2y2 + 16x4 + 9y4 = 0

Solving for variable 'x'.

Factor a trinomial.
(4x2 + 3y2)(4x2 + 3y2) = 0

Subproblem 1

Set the factor '(4x2 + 3y2)' equal to zero and attempt to solve: Simplifying 4x2 + 3y2 = 0 Solving 4x2 + 3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y2' to each side of the equation. 4x2 + 3y2 + -3y2 = 0 + -3y2 Combine like terms: 3y2 + -3y2 = 0 4x2 + 0 = 0 + -3y2 4x2 = 0 + -3y2 Remove the zero: 4x2 = -3y2 Divide each side by '4'. x2 = -0.75y2 Simplifying x2 = -0.75y2 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 '(4x2 + 3y2)' equal to zero and attempt to solve: Simplifying 4x2 + 3y2 = 0 Solving 4x2 + 3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y2' to each side of the equation. 4x2 + 3y2 + -3y2 = 0 + -3y2 Combine like terms: 3y2 + -3y2 = 0 4x2 + 0 = 0 + -3y2 4x2 = 0 + -3y2 Remove the zero: 4x2 = -3y2 Divide each side by '4'. x2 = -0.75y2 Simplifying x2 = -0.75y2 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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