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Simplifying 8x^{3}+ 10xy + 6x^{2}y^{5}= 0 Reorder the terms: 10xy + 6x^{2}y^{5}+ 8x^{3}= 0 Solving 10xy + 6x^{2}y^{5}+ 8x^{3}= 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(5y + 3xy^{5}+ 4x^{2}) = 0 Ignore the factor 2.## Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0## Subproblem 2

Set the factor '(5y + 3xy^{5}+ 4x^{2})' equal to zero and attempt to solve: Simplifying 5y + 3xy^{5}+ 4x^{2}= 0 Reorder the terms: 3xy^{5}+ 4x^{2}+ 5y = 0 Solving 3xy^{5}+ 4x^{2}+ 5y = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.## Solution

x = {0}

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