75y^4-3X^4=0

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Solution for 75y^4-3X^4=0 equation: 


Simplifying
75y4 + -3X4 = 0

Reorder the terms:
-3X4 + 75y4 = 0

Solving
-3X4 + 75y4 = 0

Solving for variable 'X'.

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

Add '-75y4' to each side of the equation.
-3X4 + 75y4 + -75y4 = 0 + -75y4

Combine like terms: 75y4 + -75y4 = 0
-3X4 + 0 = 0 + -75y4
-3X4 = 0 + -75y4
Remove the zero:
-3X4 = -75y4

Divide each side by '-3'.
X4 = 25y4

Simplifying
X4 = 25y4

Combine like terms: 25y4 + -25y4 = 0
X4 + -25y4 = 0

Factor a difference between two squares.
(X2 + 5y2)(X2 + -5y2) = 0


Subproblem 1
Set the factor '(X2 + 5y2)' equal to zero and attempt to solve:

Simplifying
X2 + 5y2 = 0

Solving
X2 + 5y2 = 0

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

Add '-5y2' to each side of the equation.
X2 + 5y2 + -5y2 = 0 + -5y2

Combine like terms: 5y2 + -5y2 = 0
X2 + 0 = 0 + -5y2
X2 = 0 + -5y2
Remove the zero:
X2 = -5y2

Simplifying
X2 = -5y2

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

Simplifying
X2 + -5y2 = 0

Solving
X2 + -5y2 = 0

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

Add '5y2' to each side of the equation.
X2 + -5y2 + 5y2 = 0 + 5y2

Combine like terms: -5y2 + 5y2 = 0
X2 + 0 = 0 + 5y2
X2 = 0 + 5y2
Remove the zero:
X2 = 5y2

Simplifying
X2 = 5y2

Take the square root of each side:
X = {-2.236067978y, 2.236067978y}
Solution
X = {-2.236067978y, 2.236067978y}

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