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Simplifying 4m(m + -1) + 3m(4 + -1m) = 0 Reorder the terms: 4m(-1 + m) + 3m(4 + -1m) = 0 (-1 * 4m + m * 4m) + 3m(4 + -1m) = 0 (-4m + 4m2) + 3m(4 + -1m) = 0 -4m + 4m2 + (4 * 3m + -1m * 3m) = 0 -4m + 4m2 + (12m + -3m2) = 0 Reorder the terms: -4m + 12m + 4m2 + -3m2 = 0 Combine like terms: -4m + 12m = 8m 8m + 4m2 + -3m2 = 0 Combine like terms: 4m2 + -3m2 = 1m2 8m + 1m2 = 0 Solving 8m + 1m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(8 + m) = 0Subproblem 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 '(8 + m)' equal to zero and attempt to solve: Simplifying 8 + m = 0 Solving 8 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + m = 0 + -8 m = 0 + -8 Combine like terms: 0 + -8 = -8 m = -8 Simplifying m = -8Solution
m = {0, -8}
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