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Simplifying 4x^{7}+ -20x^{5}+ 16x^{8}= 0 Reorder the terms: -20x^{5}+ 4x^{7}+ 16x^{8}= 0 Solving -20x^{5}+ 4x^{7}+ 16x^{8}= 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x^{5}'. 4x^{5}(-5 + x^{2}+ 4x^{3}) = 0 Ignore the factor 4.## Subproblem 1

Set the factor 'x^{5}' equal to zero and attempt to solve: Simplifying x^{5}= 0 Solving x^{5}= 0 Move all terms containing x to the left, all other terms to the right. Simplifying x^{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 '(-5 + x^{2}+ 4x^{3})' equal to zero and attempt to solve: Simplifying -5 + x^{2}+ 4x^{3}= 0 Solving -5 + x^{2}+ 4x^{3}= 0 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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