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Simplifying 6m(m + 7) = 180 Reorder the terms: 6m(7 + m) = 180 (7 * 6m + m * 6m) = 180 (42m + 6m2) = 180 Solving 42m + 6m2 = 180 Solving for variable 'm'. Reorder the terms: -180 + 42m + 6m2 = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + 42m + 6m2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-30 + 7m + m2) = 0 Factor a trinomial. 6((-10 + -1m)(3 + -1m)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-10 + -1m)' equal to zero and attempt to solve: Simplifying -10 + -1m = 0 Solving -10 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1m = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1m = 0 + 10 -1m = 0 + 10 Combine like terms: 0 + 10 = 10 -1m = 10 Divide each side by '-1'. m = -10 Simplifying m = -10Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 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 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Solution
m = {-10, 3}
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