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Simplifying 7m2 + 12m = 0 Reorder the terms: 12m + 7m2 = 0 Solving 12m + 7m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(12 + 7m) = 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 '(12 + 7m)' equal to zero and attempt to solve: Simplifying 12 + 7m = 0 Solving 12 + 7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7m = 0 + -12 7m = 0 + -12 Combine like terms: 0 + -12 = -12 7m = -12 Divide each side by '7'. m = -1.714285714 Simplifying m = -1.714285714Solution
m = {0, -1.714285714}
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