x^3y^6-8=

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Solution for x^3y^6-8= equation:


Simplifying
x3y6 + -8 = 0

Reorder the terms:
-8 + x3y6 = 0

Solving
-8 + x3y6 = 0

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + x3y6 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + x3y6 = 0 + 8
x3y6 = 0 + 8

Combine like terms: 0 + 8 = 8
x3y6 = 8

Divide each side by 'y6'.
x3 = 8y-6

Simplifying
x3 = 8y-6

Combine like terms: 8y-6 + -8y-6 = 0
x3 + -8y-6 = 0

Factor out the Greatest Common Factor (GCF), 'y-6'.
y-6(x3y6 + -8) = 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 '(x3y6 + -8)' equal to zero and attempt to solve: Simplifying x3y6 + -8 = 0 Reorder the terms: -8 + x3y6 = 0 Solving -8 + x3y6 = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x3y6 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x3y6 = 0 + 8 x3y6 = 0 + 8 Combine like terms: 0 + 8 = 8 x3y6 = 8 Divide each side by 'y6'. x3 = 8y-6 Simplifying x3 = 8y-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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