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Simplifying 3m + -2m2 + m + -1m2 + 2m = 0 Reorder the terms: 3m + m + 2m + -2m2 + -1m2 = 0 Combine like terms: 3m + m = 4m 4m + 2m + -2m2 + -1m2 = 0 Combine like terms: 4m + 2m = 6m 6m + -2m2 + -1m2 = 0 Combine like terms: -2m2 + -1m2 = -3m2 6m + -3m2 = 0 Solving 6m + -3m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3m'. 3m(2 + -1m) = 0 Ignore the factor 3.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 '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Solution
m = {0, 2}
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