9x^4-225y^8=0

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Solution for 9x^4-225y^8=0 equation: 


Simplifying
9x4 + -225y8 = 0

Solving
9x4 + -225y8 = 0

Solving for variable 'x'.

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

Add '225y8' to each side of the equation.
9x4 + -225y8 + 225y8 = 0 + 225y8

Combine like terms: -225y8 + 225y8 = 0
9x4 + 0 = 0 + 225y8
9x4 = 0 + 225y8
Remove the zero:
9x4 = 225y8

Divide each side by '9'.
x4 = 25y8

Simplifying
x4 = 25y8

Combine like terms: 25y8 + -25y8 = 0
x4 + -25y8 = 0

Factor a difference between two squares.
(x2 + 5y4)(x2 + -5y4) = 0


Subproblem 1
Set the factor '(x2 + 5y4)' equal to zero and attempt to solve:

Simplifying
x2 + 5y4 = 0

Solving
x2 + 5y4 = 0

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

Add '-5y4' to each side of the equation.
x2 + 5y4 + -5y4 = 0 + -5y4

Combine like terms: 5y4 + -5y4 = 0
x2 + 0 = 0 + -5y4
x2 = 0 + -5y4
Remove the zero:
x2 = -5y4

Simplifying
x2 = -5y4

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 + -5y4)' equal to zero and attempt to solve:

Simplifying
x2 + -5y4 = 0

Solving
x2 + -5y4 = 0

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

Add '5y4' to each side of the equation.
x2 + -5y4 + 5y4 = 0 + 5y4

Combine like terms: -5y4 + 5y4 = 0
x2 + 0 = 0 + 5y4
x2 = 0 + 5y4
Remove the zero:
x2 = 5y4

Simplifying
x2 = 5y4

Take the square root of each side:
x = {-2.236067978y2, 2.236067978y2}
Solution
x = {-2.236067978y2, 2.236067978y2}

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