x^4-6x^2y+9y^2=0

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Solution for x^4-6x^2y+9y^2=0 equation:


Simplifying
x4 + -6x2y + 9y2 = 0

Reorder the terms:
-6x2y + x4 + 9y2 = 0

Solving
-6x2y + x4 + 9y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x2 + -3y)(x2 + -3y) = 0

Subproblem 1

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