x^12-y^6=0

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Solution for x^12-y^6=0 equation:


Simplifying
x12 + -1y6 = 0

Solving
x12 + -1y6 = 0

Solving for variable 'x'.

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

Add 'y6' to each side of the equation.
x12 + -1y6 + y6 = 0 + y6

Combine like terms: -1y6 + y6 = 0
x12 + 0 = 0 + y6
x12 = 0 + y6
Remove the zero:
x12 = y6

Simplifying
x12 = y6

Combine like terms: y6 + -1y6 = 0
x12 + -1y6 = 0

Factor a difference between two squares.
(x6 + y3)(x6 + -1y3) = 0

Subproblem 1

Set the factor '(x6 + y3)' equal to zero and attempt to solve: Simplifying x6 + y3 = 0 Solving x6 + y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y3' to each side of the equation. x6 + y3 + -1y3 = 0 + -1y3 Combine like terms: y3 + -1y3 = 0 x6 + 0 = 0 + -1y3 x6 = 0 + -1y3 Remove the zero: x6 = -1y3 Simplifying x6 = -1y3 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 '(x6 + -1y3)' equal to zero and attempt to solve: Simplifying x6 + -1y3 = 0 Solving x6 + -1y3 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y3' to each side of the equation. x6 + -1y3 + y3 = 0 + y3 Combine like terms: -1y3 + y3 = 0 x6 + 0 = 0 + y3 x6 = 0 + y3 Remove the zero: x6 = y3 Simplifying x6 = y3 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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