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Simplifying m5 + 8m3 + 16m = 0 Reorder the terms: 16m + 8m3 + m5 = 0 Solving 16m + 8m3 + m5 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(16 + 8m2 + m4) = 0 Factor a trinomial. m((4 + m2)(4 + m2)) = 0Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(4 + m2)' equal to zero and attempt to solve: Simplifying 4 + m2 = 0 Solving 4 + m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + m2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m2 = 0 + -4 m2 = 0 + -4 Combine like terms: 0 + -4 = -4 m2 = -4 Simplifying m2 = -4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(4 + m2)' equal to zero and attempt to solve: Simplifying 4 + m2 = 0 Solving 4 + m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + m2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m2 = 0 + -4 m2 = 0 + -4 Combine like terms: 0 + -4 = -4 m2 = -4 Simplifying m2 = -4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
m = {0}
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