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Simplifying -2m(3m + -9) + (-4m)(-2m + 3) = 0 Reorder the terms: -2m(-9 + 3m) + (-4m)(-2m + 3) = 0 (-9 * -2m + 3m * -2m) + (-4m)(-2m + 3) = 0 (18m + -6m2) + (-4m)(-2m + 3) = 0 Remove parenthesis around (-4m) 18m + -6m2 + -4m(-2m + 3) = 0 Reorder the terms: 18m + -6m2 + -4m(3 + -2m) = 0 18m + -6m2 + (3 * -4m + -2m * -4m) = 0 18m + -6m2 + (-12m + 8m2) = 0 Reorder the terms: 18m + -12m + -6m2 + 8m2 = 0 Combine like terms: 18m + -12m = 6m 6m + -6m2 + 8m2 = 0 Combine like terms: -6m2 + 8m2 = 2m2 6m + 2m2 = 0 Solving 6m + 2m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m'. 2m(3 + m) = 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 '(3 + m)' equal to zero and attempt to solve: Simplifying 3 + m = 0 Solving 3 + m = 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 + m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m = 0 + -3 m = 0 + -3 Combine like terms: 0 + -3 = -3 m = -3 Simplifying m = -3Solution
m = {0, -3}
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