x^12-y^10=0

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Solution for x^12-y^10=0 equation:


Simplifying
x12 + -1y10 = 0

Solving
x12 + -1y10 = 0

Solving for variable 'x'.

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

Add 'y10' to each side of the equation.
x12 + -1y10 + y10 = 0 + y10

Combine like terms: -1y10 + y10 = 0
x12 + 0 = 0 + y10
x12 = 0 + y10
Remove the zero:
x12 = y10

Simplifying
x12 = y10

Combine like terms: y10 + -1y10 = 0
x12 + -1y10 = 0

Factor a difference between two squares.
(x6 + y5)(x6 + -1y5) = 0

Subproblem 1

Set the factor '(x6 + y5)' equal to zero and attempt to solve: Simplifying x6 + y5 = 0 Solving x6 + y5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y5' to each side of the equation. x6 + y5 + -1y5 = 0 + -1y5 Combine like terms: y5 + -1y5 = 0 x6 + 0 = 0 + -1y5 x6 = 0 + -1y5 Remove the zero: x6 = -1y5 Simplifying x6 = -1y5 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 + -1y5)' equal to zero and attempt to solve: Simplifying x6 + -1y5 = 0 Solving x6 + -1y5 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y5' to each side of the equation. x6 + -1y5 + y5 = 0 + y5 Combine like terms: -1y5 + y5 = 0 x6 + 0 = 0 + y5 x6 = 0 + y5 Remove the zero: x6 = y5 Simplifying x6 = y5 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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