625X^4-256Y^4=

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Solution for 625X^4-256Y^4= equation: 


Simplifying
625X4 + -256Y4 = 0

Solving
625X4 + -256Y4 = 0

Solving for variable 'X'.

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

Add '256Y4' to each side of the equation.
625X4 + -256Y4 + 256Y4 = 0 + 256Y4

Combine like terms: -256Y4 + 256Y4 = 0
625X4 + 0 = 0 + 256Y4
625X4 = 0 + 256Y4
Remove the zero:
625X4 = 256Y4

Divide each side by '625'.
X4 = 0.4096Y4

Simplifying
X4 = 0.4096Y4

Combine like terms: 0.4096Y4 + -0.4096Y4 = 0.0000
X4 + -0.4096Y4 = 0.0000

Factor a difference between two squares.
(X2 + 0.64Y2)(X2 + -0.64Y2) = 0.0000

Factor a difference between two squares.
(X2 + 0.64Y2)((X + 0.8Y)(X + -0.8Y)) = 0.0000


Subproblem 1
Set the factor '(X2 + 0.64Y2)' equal to zero and attempt to solve:

Simplifying
X2 + 0.64Y2 = 0

Solving
X2 + 0.64Y2 = 0

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

Add '-0.64Y2' to each side of the equation.
X2 + 0.64Y2 + -0.64Y2 = 0 + -0.64Y2

Combine like terms: 0.64Y2 + -0.64Y2 = 0.00
X2 + 0.00 = 0 + -0.64Y2
X2 = 0 + -0.64Y2
Remove the zero:
X2 = -0.64Y2

Simplifying
X2 = -0.64Y2

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 '(X + 0.8Y)' equal to zero and attempt to solve:

Simplifying
X + 0.8Y = 0

Solving
X + 0.8Y = 0

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

Add '-0.8Y' to each side of the equation.
X + 0.8Y + -0.8Y = 0 + -0.8Y

Combine like terms: 0.8Y + -0.8Y = 0.0
X + 0.0 = 0 + -0.8Y
X = 0 + -0.8Y
Remove the zero:
X = -0.8Y

Simplifying
X = -0.8Y

Subproblem 3
Set the factor '(X + -0.8Y)' equal to zero and attempt to solve:

Simplifying
X + -0.8Y = 0

Solving
X + -0.8Y = 0

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

Add '0.8Y' to each side of the equation.
X + -0.8Y + 0.8Y = 0 + 0.8Y

Combine like terms: -0.8Y + 0.8Y = 0.0
X + 0.0 = 0 + 0.8Y
X = 0 + 0.8Y
Remove the zero:
X = 0.8Y

Simplifying
X = 0.8Y
Solution
X = {-0.8Y, 0.8Y}

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