x^3y^3-1=0

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Solution for x^3y^3-1=0 equation:


Simplifying
x3y3 + -1 = 0

Reorder the terms:
-1 + x3y3 = 0

Solving
-1 + x3y3 = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x3y3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + x3y3 = 0 + 1
x3y3 = 0 + 1

Combine like terms: 0 + 1 = 1
x3y3 = 1

Divide each side by 'y3'.
x3 = y-3

Simplifying
x3 = y-3

Combine like terms: y-3 + -1y-3 = 0
x3 + -1y-3 = 0

Factor out the Greatest Common Factor (GCF), 'y-3'.
y-3(x3y3 + -1) = 0

Subproblem 1

Set the factor 'y-3' equal to zero and attempt to solve: Simplifying y-3 = 0 Solving y-3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-3' to each side of the equation. y-3 + -1y-3 = 0 + -1y-3 Remove the zero: 0 = -1y-3 Simplifying 0 = -1y-3 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 '(x3y3 + -1)' equal to zero and attempt to solve: Simplifying x3y3 + -1 = 0 Reorder the terms: -1 + x3y3 = 0 Solving -1 + x3y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x3y3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x3y3 = 0 + 1 x3y3 = 0 + 1 Combine like terms: 0 + 1 = 1 x3y3 = 1 Divide each side by 'y3'. x3 = y-3 Simplifying x3 = y-3 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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