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Simplifying 7m(2m + 3) = 0 Reorder the terms: 7m(3 + 2m) = 0 (3 * 7m + 2m * 7m) = 0 (21m + 14m2) = 0 Solving 21m + 14m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '7m'. 7m(3 + 2m) = 0 Ignore the factor 7.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 '(3 + 2m)' equal to zero and attempt to solve: Simplifying 3 + 2m = 0 Solving 3 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2m = 0 + -3 2m = 0 + -3 Combine like terms: 0 + -3 = -3 2m = -3 Divide each side by '2'. m = -1.5 Simplifying m = -1.5Solution
m = {0, -1.5}
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