64x^6-729y^12=0

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Solution for 64x^6-729y^12=0 equation:


Simplifying
64x6 + -729y12 = 0

Solving
64x6 + -729y12 = 0

Solving for variable 'x'.

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

Add '729y12' to each side of the equation.
64x6 + -729y12 + 729y12 = 0 + 729y12

Combine like terms: -729y12 + 729y12 = 0
64x6 + 0 = 0 + 729y12
64x6 = 0 + 729y12
Remove the zero:
64x6 = 729y12

Divide each side by '64'.
x6 = 11.390625y12

Simplifying
x6 = 11.390625y12

Combine like terms: 11.390625y12 + -11.390625y12 = 0.000000
x6 + -11.390625y12 = 0.000000

Factor a difference between two squares.
(x3 + 3.375y6)(x3 + -3.375y6) = 0.000000

Subproblem 1

Set the factor '(x3 + 3.375y6)' equal to zero and attempt to solve: Simplifying x3 + 3.375y6 = 0 Solving x3 + 3.375y6 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3.375y6' to each side of the equation. x3 + 3.375y6 + -3.375y6 = 0 + -3.375y6 Combine like terms: 3.375y6 + -3.375y6 = 0.000 x3 + 0.000 = 0 + -3.375y6 x3 = 0 + -3.375y6 Remove the zero: x3 = -3.375y6 Simplifying x3 = -3.375y6 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 + -3.375y6)' equal to zero and attempt to solve: Simplifying x3 + -3.375y6 = 0 Solving x3 + -3.375y6 = 0 Move all terms containing x to the left, all other terms to the right. Add '3.375y6' to each side of the equation. x3 + -3.375y6 + 3.375y6 = 0 + 3.375y6 Combine like terms: -3.375y6 + 3.375y6 = 0.000 x3 + 0.000 = 0 + 3.375y6 x3 = 0 + 3.375y6 Remove the zero: x3 = 3.375y6 Simplifying x3 = 3.375y6 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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