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Simplifying 3m(4m + 7) = 0 Reorder the terms: 3m(7 + 4m) = 0 (7 * 3m + 4m * 3m) = 0 (21m + 12m2) = 0 Solving 21m + 12m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3m'. 3m(7 + 4m) = 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 '(7 + 4m)' equal to zero and attempt to solve: Simplifying 7 + 4m = 0 Solving 7 + 4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4m = 0 + -7 4m = 0 + -7 Combine like terms: 0 + -7 = -7 4m = -7 Divide each side by '4'. m = -1.75 Simplifying m = -1.75Solution
m = {0, -1.75}
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