(5x^4+9y)(5x^4-9y)=0

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Solution for (5x^4+9y)(5x^4-9y)=0 equation: 


Simplifying
(5x4 + 9y)(5x4 + -9y) = 0

Multiply (5x4 + 9y) * (5x4 + -9y)
(5x4 * (5x4 + -9y) + 9y * (5x4 + -9y)) = 0
((5x4 * 5x4 + -9y * 5x4) + 9y * (5x4 + -9y)) = 0

Reorder the terms:
((-45x4y + 25x8) + 9y * (5x4 + -9y)) = 0
((-45x4y + 25x8) + 9y * (5x4 + -9y)) = 0
(-45x4y + 25x8 + (5x4 * 9y + -9y * 9y)) = 0
(-45x4y + 25x8 + (45x4y + -81y2)) = 0

Reorder the terms:
(-45x4y + 45x4y + 25x8 + -81y2) = 0

Combine like terms: -45x4y + 45x4y = 0
(0 + 25x8 + -81y2) = 0
(25x8 + -81y2) = 0

Solving
25x8 + -81y2 = 0

Solving for variable 'x'.

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

Add '81y2' to each side of the equation.
25x8 + -81y2 + 81y2 = 0 + 81y2

Combine like terms: -81y2 + 81y2 = 0
25x8 + 0 = 0 + 81y2
25x8 = 0 + 81y2
Remove the zero:
25x8 = 81y2

Divide each side by '25'.
x8 = 3.24y2

Simplifying
x8 = 3.24y2

Combine like terms: 3.24y2 + -3.24y2 = 0.00
x8 + -3.24y2 = 0.00

Factor a difference between two squares.
(x4 + 1.8y)(x4 + -1.8y) = 0.00


Subproblem 1
Set the factor '(x4 + 1.8y)' equal to zero and attempt to solve:

Simplifying
x4 + 1.8y = 0

Solving
x4 + 1.8y = 0

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

Add '-1.8y' to each side of the equation.
x4 + 1.8y + -1.8y = 0 + -1.8y

Combine like terms: 1.8y + -1.8y = 0.0
x4 + 0.0 = 0 + -1.8y
x4 = 0 + -1.8y
Remove the zero:
x4 = -1.8y

Simplifying
x4 = -1.8y

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 '(x4 + -1.8y)' equal to zero and attempt to solve:

Simplifying
x4 + -1.8y = 0

Solving
x4 + -1.8y = 0

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

Add '1.8y' to each side of the equation.
x4 + -1.8y + 1.8y = 0 + 1.8y

Combine like terms: -1.8y + 1.8y = 0.0
x4 + 0.0 = 0 + 1.8y
x4 = 0 + 1.8y
Remove the zero:
x4 = 1.8y

Simplifying
x4 = 1.8y

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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