4x^6-y^6=

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Solution for 4x^6-y^6= equation:


Simplifying
4x6 + -1y6 = 0

Solving
4x6 + -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.
4x6 + -1y6 + y6 = 0 + y6

Combine like terms: -1y6 + y6 = 0
4x6 + 0 = 0 + y6
4x6 = 0 + y6
Remove the zero:
4x6 = y6

Divide each side by '4'.
x6 = 0.25y6

Simplifying
x6 = 0.25y6

Combine like terms: 0.25y6 + -0.25y6 = 0.00
x6 + -0.25y6 = 0.00

Factor a difference between two squares.
(x3 + 0.5y3)(x3 + -0.5y3) = 0.00

Subproblem 1

Set the factor '(x3 + 0.5y3)' equal to zero and attempt to solve: Simplifying x3 + 0.5y3 = 0 Solving x3 + 0.5y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.5y3' to each side of the equation. x3 + 0.5y3 + -0.5y3 = 0 + -0.5y3 Combine like terms: 0.5y3 + -0.5y3 = 0.0 x3 + 0.0 = 0 + -0.5y3 x3 = 0 + -0.5y3 Remove the zero: x3 = -0.5y3 Simplifying x3 = -0.5y3 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 + -0.5y3)' equal to zero and attempt to solve: Simplifying x3 + -0.5y3 = 0 Solving x3 + -0.5y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '0.5y3' to each side of the equation. x3 + -0.5y3 + 0.5y3 = 0 + 0.5y3 Combine like terms: -0.5y3 + 0.5y3 = 0.0 x3 + 0.0 = 0 + 0.5y3 x3 = 0 + 0.5y3 Remove the zero: x3 = 0.5y3 Simplifying x3 = 0.5y3 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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