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Simplifying 24uxy^{5}+ -22u^{5}y^{5}= 0 Solving 24uxy^{5}+ -22u^{5}y^{5}= 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2uy^{5}'. 2uy^{5}(12x + -11u^{4}) = 0 Ignore the factor 2.## Subproblem 1

Set the factor 'uy^{5}' equal to zero and attempt to solve: Simplifying uy^{5}= 0 Solving uy^{5}= 0 Move all terms containing u to the left, all other terms to the right. Simplifying uy^{5}= 0 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 '(12x + -11u^{4})' equal to zero and attempt to solve: Simplifying 12x + -11u^{4}= 0 Reorder the terms: -11u^{4}+ 12x = 0 Solving -11u^{4}+ 12x = 0 Move all terms containing u to the left, all other terms to the right. Add '-12x' to each side of the equation. -11u^{4}+ 12x + -12x = 0 + -12x Combine like terms: 12x + -12x = 0 -11u^{4}+ 0 = 0 + -12x -11u^{4}= 0 + -12x Remove the zero: -11u^{4}= -12x Divide each side by '-11'. u^{4}= 1.090909091x Simplifying u^{4}= 1.090909091x 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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