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Simplifying 27m5 + -48m3 = 0 Reorder the terms: -48m3 + 27m5 = 0 Solving -48m3 + 27m5 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3m3'. 3m3(-16 + 9m2) = 0 Factor a difference between two squares. 3m3((4 + 3m)(-4 + 3m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'm3' equal to zero and attempt to solve: Simplifying m3 = 0 Solving m3 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m3 = 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 '(4 + 3m)' equal to zero and attempt to solve: Simplifying 4 + 3m = 0 Solving 4 + 3m = 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 + 3m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3m = 0 + -4 3m = 0 + -4 Combine like terms: 0 + -4 = -4 3m = -4 Divide each side by '3'. m = -1.333333333 Simplifying m = -1.333333333Subproblem 3
Set the factor '(-4 + 3m)' equal to zero and attempt to solve: Simplifying -4 + 3m = 0 Solving -4 + 3m = 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 + 3m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3m = 0 + 4 3m = 0 + 4 Combine like terms: 0 + 4 = 4 3m = 4 Divide each side by '3'. m = 1.333333333 Simplifying m = 1.333333333Solution
m = {-1.333333333, 1.333333333}
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