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Simplifying 2m(m + -9) + -1m(m + -4) = 0 Reorder the terms: 2m(-9 + m) + -1m(m + -4) = 0 (-9 * 2m + m * 2m) + -1m(m + -4) = 0 (-18m + 2m2) + -1m(m + -4) = 0 Reorder the terms: -18m + 2m2 + -1m(-4 + m) = 0 -18m + 2m2 + (-4 * -1m + m * -1m) = 0 -18m + 2m2 + (4m + -1m2) = 0 Reorder the terms: -18m + 4m + 2m2 + -1m2 = 0 Combine like terms: -18m + 4m = -14m -14m + 2m2 + -1m2 = 0 Combine like terms: 2m2 + -1m2 = 1m2 -14m + 1m2 = 0 Solving -14m + 1m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-14 + 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 '(-14 + m)' equal to zero and attempt to solve: Simplifying -14 + m = 0 Solving -14 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + m = 0 + 14 Combine like terms: -14 + 14 = 0 0 + m = 0 + 14 m = 0 + 14 Combine like terms: 0 + 14 = 14 m = 14 Simplifying m = 14Solution
m = {0, 14}
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