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Simplifying 5m + -2m2 + -1m2 + 5m = 0 Reorder the terms: 5m + 5m + -2m2 + -1m2 = 0 Combine like terms: 5m + 5m = 10m 10m + -2m2 + -1m2 = 0 Combine like terms: -2m2 + -1m2 = -3m2 10m + -3m2 = 0 Solving 10m + -3m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(10 + -3m) = 0Subproblem 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 '(10 + -3m)' equal to zero and attempt to solve: Simplifying 10 + -3m = 0 Solving 10 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3m = 0 + -10 -3m = 0 + -10 Combine like terms: 0 + -10 = -10 -3m = -10 Divide each side by '-3'. m = 3.333333333 Simplifying m = 3.333333333Solution
m = {0, 3.333333333}
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