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Simplifying (15m3) + (5m2) = 0 Reorder the terms: (5m2) + (15m3) = 0 Solving (5m2) + (15m3) = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '5m2'. 5m2(1 + (3m)) = 0 Ignore the factor 5.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 '(1 + (3m))' equal to zero and attempt to solve: Simplifying 1 + (3m) = 0 Solving 1 + (3m) = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + (3m) = 0 + -1 Combine like terms: 1 + -1 = 0 0 + (3m) = 0 + -1 (3m) = 0 + -1 Combine like terms: 0 + -1 = -1 (3m) = -1 Divide each side by '3'. m = -0.3333333333 Simplifying m = -0.3333333333Solution
m = {0, -0.3333333333}
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