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Simplifying 6m(3m + 4) = 0 Reorder the terms: 6m(4 + 3m) = 0 (4 * 6m + 3m * 6m) = 0 (24m + 18m2) = 0 Solving 24m + 18m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '6m'. 6m(4 + 3m) = 0 Ignore the factor 6.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 '(4 + 3m)' equal to zero and attempt to solve: Simplifying 4 + 3m = 0 Solving 4 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3m = 0 + -4 3m = 0 + -4 Combine like terms: 0 + -4 = -4 3m = -4 Divide each side by '3'. m = -1.333333333 Simplifying m = -1.333333333Solution
m = {0, -1.333333333}
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