x^6y^6-27=0

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Solution for x^6y^6-27=0 equation:


Simplifying
x6y6 + -27 = 0

Reorder the terms:
-27 + x6y6 = 0

Solving
-27 + x6y6 = 0

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + x6y6 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + x6y6 = 0 + 27
x6y6 = 0 + 27

Combine like terms: 0 + 27 = 27
x6y6 = 27

Divide each side by 'y6'.
x6 = 27y-6

Simplifying
x6 = 27y-6

Combine like terms: 27y-6 + -27y-6 = 0
x6 + -27y-6 = 0

Factor out the Greatest Common Factor (GCF), 'y-6'.
y-6(x6y6 + -27) = 0

Subproblem 1

Set the factor 'y-6' equal to zero and attempt to solve: Simplifying y-6 = 0 Solving y-6 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-6' to each side of the equation. y-6 + -1y-6 = 0 + -1y-6 Remove the zero: 0 = -1y-6 Simplifying 0 = -1y-6 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 '(x6y6 + -27)' equal to zero and attempt to solve: Simplifying x6y6 + -27 = 0 Reorder the terms: -27 + x6y6 = 0 Solving -27 + x6y6 = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + x6y6 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + x6y6 = 0 + 27 x6y6 = 0 + 27 Combine like terms: 0 + 27 = 27 x6y6 = 27 Divide each side by 'y6'. x6 = 27y-6 Simplifying x6 = 27y-6 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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