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Simplifying 8m(2m + 7) + 4m(4 + -3m) = 0 Reorder the terms: 8m(7 + 2m) + 4m(4 + -3m) = 0 (7 * 8m + 2m * 8m) + 4m(4 + -3m) = 0 (56m + 16m2) + 4m(4 + -3m) = 0 56m + 16m2 + (4 * 4m + -3m * 4m) = 0 56m + 16m2 + (16m + -12m2) = 0 Reorder the terms: 56m + 16m + 16m2 + -12m2 = 0 Combine like terms: 56m + 16m = 72m 72m + 16m2 + -12m2 = 0 Combine like terms: 16m2 + -12m2 = 4m2 72m + 4m2 = 0 Solving 72m + 4m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4m'. 4m(18 + m) = 0 Ignore the factor 4.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 '(18 + m)' equal to zero and attempt to solve: Simplifying 18 + m = 0 Solving 18 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + m = 0 + -18 Combine like terms: 18 + -18 = 0 0 + m = 0 + -18 m = 0 + -18 Combine like terms: 0 + -18 = -18 m = -18 Simplifying m = -18Solution
m = {0, -18}
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