64x^6-y^6=0

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Solution for 64x^6-y^6=0 equation:


Simplifying
64x6 + -1y6 = 0

Solving
64x6 + -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.
64x6 + -1y6 + y6 = 0 + y6

Combine like terms: -1y6 + y6 = 0
64x6 + 0 = 0 + y6
64x6 = 0 + y6
Remove the zero:
64x6 = y6

Divide each side by '64'.
x6 = 0.015625y6

Simplifying
x6 = 0.015625y6

Combine like terms: 0.015625y6 + -0.015625y6 = 0.000000
x6 + -0.015625y6 = 0.000000

Factor a difference between two squares.
(x3 + 0.125y3)(x3 + -0.125y3) = 0.000000

Subproblem 1

Set the factor '(x3 + 0.125y3)' equal to zero and attempt to solve: Simplifying x3 + 0.125y3 = 0 Solving x3 + 0.125y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.125y3' to each side of the equation. x3 + 0.125y3 + -0.125y3 = 0 + -0.125y3 Combine like terms: 0.125y3 + -0.125y3 = 0.000 x3 + 0.000 = 0 + -0.125y3 x3 = 0 + -0.125y3 Remove the zero: x3 = -0.125y3 Simplifying x3 = -0.125y3 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 '(x3 + -0.125y3)' equal to zero and attempt to solve: Simplifying x3 + -0.125y3 = 0 Solving x3 + -0.125y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '0.125y3' to each side of the equation. x3 + -0.125y3 + 0.125y3 = 0 + 0.125y3 Combine like terms: -0.125y3 + 0.125y3 = 0.000 x3 + 0.000 = 0 + 0.125y3 x3 = 0 + 0.125y3 Remove the zero: x3 = 0.125y3 Simplifying x3 = 0.125y3 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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