X^8-256y^4=0

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Solution for X^8-256y^4=0 equation:


Simplifying
X8 + -256y4 = 0

Solving
X8 + -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.
X8 + -256y4 + 256y4 = 0 + 256y4

Combine like terms: -256y4 + 256y4 = 0
X8 + 0 = 0 + 256y4
X8 = 0 + 256y4
Remove the zero:
X8 = 256y4

Simplifying
X8 = 256y4

Combine like terms: 256y4 + -256y4 = 0
X8 + -256y4 = 0

Factor a difference between two squares.
(X4 + 16y2)(X4 + -16y2) = 0

Factor a difference between two squares.
(X4 + 16y2)((X2 + 4y)(X2 + -4y)) = 0

Subproblem 1

Set the factor '(X4 + 16y2)' equal to zero and attempt to solve: Simplifying X4 + 16y2 = 0 Solving X4 + 16y2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-16y2' to each side of the equation. X4 + 16y2 + -16y2 = 0 + -16y2 Combine like terms: 16y2 + -16y2 = 0 X4 + 0 = 0 + -16y2 X4 = 0 + -16y2 Remove the zero: X4 = -16y2 Simplifying X4 = -16y2 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 + 4y)' equal to zero and attempt to solve: Simplifying X2 + 4y = 0 Solving X2 + 4y = 0 Move all terms containing X to the left, all other terms to the right. Add '-4y' to each side of the equation. X2 + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 X2 + 0 = 0 + -4y X2 = 0 + -4y Remove the zero: X2 = -4y Simplifying X2 = -4y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(X2 + -4y)' equal to zero and attempt to solve: Simplifying X2 + -4y = 0 Solving X2 + -4y = 0 Move all terms containing X to the left, all other terms to the right. Add '4y' to each side of the equation. X2 + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 X2 + 0 = 0 + 4y X2 = 0 + 4y Remove the zero: X2 = 4y Simplifying X2 = 4y 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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