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Simplifying 16m3 + 6m2 = 0 Reorder the terms: 6m2 + 16m3 = 0 Solving 6m2 + 16m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m2'. 2m2(3 + 8m) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve: Simplifying m2 = 0 Solving m2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2 = 0 Take the square root of each side: m = {0}Subproblem 2
Set the factor '(3 + 8m)' equal to zero and attempt to solve: Simplifying 3 + 8m = 0 Solving 3 + 8m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8m = 0 + -3 8m = 0 + -3 Combine like terms: 0 + -3 = -3 8m = -3 Divide each side by '8'. m = -0.375 Simplifying m = -0.375Solution
m = {0, -0.375}
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