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Simplifying -2m(m + -30) = (-6m) Reorder the terms: -2m(-30 + m) = (-6m) (-30 * -2m + m * -2m) = (-6m) (60m + -2m2) = (-6m) Solving 60m + -2m2 = (-6m) Solving for variable 'm'. Reorder the terms: 60m + (6m) + -2m2 = (-6m) + (6m) Combine like terms: 60m + (6m) = 66m 66m + -2m2 = (-6m) + (6m) Combine like terms: (-6m) + (6m) = 0 66m + -2m2 = 0 Factor out the Greatest Common Factor (GCF), '2m'. 2m(33 + -1m) = 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 '(33 + -1m)' equal to zero and attempt to solve: Simplifying 33 + -1m = 0 Solving 33 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -1m = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -1m = 0 + -33 -1m = 0 + -33 Combine like terms: 0 + -33 = -33 -1m = -33 Divide each side by '-1'. m = 33 Simplifying m = 33Solution
m = {0, 33}
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