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Simplifying 6m2 + 27m = 0 Reorder the terms: 27m + 6m2 = 0 Solving 27m + 6m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3m'. 3m(9 + 2m) = 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 '(9 + 2m)' equal to zero and attempt to solve: Simplifying 9 + 2m = 0 Solving 9 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2m = 0 + -9 2m = 0 + -9 Combine like terms: 0 + -9 = -9 2m = -9 Divide each side by '2'. m = -4.5 Simplifying m = -4.5Solution
m = {0, -4.5}
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