6x^8-24y^8=0

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Solution for 6x^8-24y^8=0 equation:


Simplifying
6x8 + -24y8 = 0

Solving
6x8 + -24y8 = 0

Solving for variable 'x'.

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

Add '24y8' to each side of the equation.
6x8 + -24y8 + 24y8 = 0 + 24y8

Combine like terms: -24y8 + 24y8 = 0
6x8 + 0 = 0 + 24y8
6x8 = 0 + 24y8
Remove the zero:
6x8 = 24y8

Divide each side by '6'.
x8 = 4y8

Simplifying
x8 = 4y8

Combine like terms: 4y8 + -4y8 = 0
x8 + -4y8 = 0

Factor a difference between two squares.
(x4 + 2y4)(x4 + -2y4) = 0

Subproblem 1

Set the factor '(x4 + 2y4)' equal to zero and attempt to solve: Simplifying x4 + 2y4 = 0 Solving x4 + 2y4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y4' to each side of the equation. x4 + 2y4 + -2y4 = 0 + -2y4 Combine like terms: 2y4 + -2y4 = 0 x4 + 0 = 0 + -2y4 x4 = 0 + -2y4 Remove the zero: x4 = -2y4 Simplifying x4 = -2y4 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 + -2y4)' equal to zero and attempt to solve: Simplifying x4 + -2y4 = 0 Solving x4 + -2y4 = 0 Move all terms containing x to the left, all other terms to the right. Add '2y4' to each side of the equation. x4 + -2y4 + 2y4 = 0 + 2y4 Combine like terms: -2y4 + 2y4 = 0 x4 + 0 = 0 + 2y4 x4 = 0 + 2y4 Remove the zero: x4 = 2y4 Simplifying x4 = 2y4 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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