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Simplifying 18m5 + 48m3 + 32m = 0 Reorder the terms: 32m + 48m3 + 18m5 = 0 Solving 32m + 48m3 + 18m5 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m'. 2m(16 + 24m2 + 9m4) = 0 Factor a trinomial. 2m((4 + 3m2)(4 + 3m2)) = 0 Ignore the factor 2.Subproblem 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 + 3m2)' equal to zero and attempt to solve: Simplifying 4 + 3m2 = 0 Solving 4 + 3m2 = 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 + 3m2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3m2 = 0 + -4 3m2 = 0 + -4 Combine like terms: 0 + -4 = -4 3m2 = -4 Divide each side by '3'. m2 = -1.333333333 Simplifying m2 = -1.333333333 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 + 3m2)' equal to zero and attempt to solve: Simplifying 4 + 3m2 = 0 Solving 4 + 3m2 = 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 + 3m2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3m2 = 0 + -4 3m2 = 0 + -4 Combine like terms: 0 + -4 = -4 3m2 = -4 Divide each side by '3'. m2 = -1.333333333 Simplifying m2 = -1.333333333 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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