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Simplifying 15m2 + -10m + 15m2 = 0 Reorder the terms: -10m + 15m2 + 15m2 = 0 Combine like terms: 15m2 + 15m2 = 30m2 -10m + 30m2 = 0 Solving -10m + 30m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '10m'. 10m(-1 + 3m) = 0 Ignore the factor 10.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 '(-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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