(3x^4-5y^2)(3x^4-5y^2)=0

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Solution for (3x^4-5y^2)(3x^4-5y^2)=0 equation: 


Simplifying
(3x4 + -5y2)(3x4 + -5y2) = 0

Multiply (3x4 + -5y2) * (3x4 + -5y2)
(3x4 * (3x4 + -5y2) + -5y2 * (3x4 + -5y2)) = 0
((3x4 * 3x4 + -5y2 * 3x4) + -5y2 * (3x4 + -5y2)) = 0

Reorder the terms:
((-15x4y2 + 9x8) + -5y2 * (3x4 + -5y2)) = 0
((-15x4y2 + 9x8) + -5y2 * (3x4 + -5y2)) = 0
(-15x4y2 + 9x8 + (3x4 * -5y2 + -5y2 * -5y2)) = 0
(-15x4y2 + 9x8 + (-15x4y2 + 25y4)) = 0

Reorder the terms:
(-15x4y2 + -15x4y2 + 9x8 + 25y4) = 0

Combine like terms: -15x4y2 + -15x4y2 = -30x4y2
(-30x4y2 + 9x8 + 25y4) = 0

Solving
-30x4y2 + 9x8 + 25y4 = 0

Solving for variable 'x'.

Factor a trinomial.
(3x4 + -5y2)(3x4 + -5y2) = 0


Subproblem 1
Set the factor '(3x4 + -5y2)' equal to zero and attempt to solve:

Simplifying
3x4 + -5y2 = 0

Solving
3x4 + -5y2 = 0

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

Add '5y2' to each side of the equation.
3x4 + -5y2 + 5y2 = 0 + 5y2

Combine like terms: -5y2 + 5y2 = 0
3x4 + 0 = 0 + 5y2
3x4 = 0 + 5y2
Remove the zero:
3x4 = 5y2

Divide each side by '3'.
x4 = 1.666666667y2

Simplifying
x4 = 1.666666667y2

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 '(3x4 + -5y2)' equal to zero and attempt to solve:

Simplifying
3x4 + -5y2 = 0

Solving
3x4 + -5y2 = 0

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

Add '5y2' to each side of the equation.
3x4 + -5y2 + 5y2 = 0 + 5y2

Combine like terms: -5y2 + 5y2 = 0
3x4 + 0 = 0 + 5y2
3x4 = 0 + 5y2
Remove the zero:
3x4 = 5y2

Divide each side by '3'.
x4 = 1.666666667y2

Simplifying
x4 = 1.666666667y2

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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