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Simplifying 6m2 + 16m = 0 Reorder the terms: 16m + 6m2 = 0 Solving 16m + 6m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m'. 2m(8 + 3m) = 0 Ignore the factor 2.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 '(8 + 3m)' equal to zero and attempt to solve: Simplifying 8 + 3m = 0 Solving 8 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3m = 0 + -8 3m = 0 + -8 Combine like terms: 0 + -8 = -8 3m = -8 Divide each side by '3'. m = -2.666666667 Simplifying m = -2.666666667Solution
m = {0, -2.666666667}
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