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Simplifying 12m2 + 6m + 9m2 = 0 Reorder the terms: 6m + 12m2 + 9m2 = 0 Combine like terms: 12m2 + 9m2 = 21m2 6m + 21m2 = 0 Solving 6m + 21m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3m'. 3m(2 + 7m) = 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 + 7m)' equal to zero and attempt to solve: Simplifying 2 + 7m = 0 Solving 2 + 7m = 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 + 7m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7m = 0 + -2 7m = 0 + -2 Combine like terms: 0 + -2 = -2 7m = -2 Divide each side by '7'. m = -0.2857142857 Simplifying m = -0.2857142857Solution
m = {0, -0.2857142857}
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