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Simplifying 6m2 = 6m + 180 Reorder the terms: 6m2 = 180 + 6m Solving 6m2 = 180 + 6m Solving for variable 'm'. Reorder the terms: -180 + -6m + 6m2 = 180 + 6m + -180 + -6m Reorder the terms: -180 + -6m + 6m2 = 180 + -180 + 6m + -6m Combine like terms: 180 + -180 = 0 -180 + -6m + 6m2 = 0 + 6m + -6m -180 + -6m + 6m2 = 6m + -6m Combine like terms: 6m + -6m = 0 -180 + -6m + 6m2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-30 + -1m + m2) = 0 Factor a trinomial. 6((-5 + -1m)(6 + -1m)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-5 + -1m)' equal to zero and attempt to solve: Simplifying -5 + -1m = 0 Solving -5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1m = 0 + 5 -1m = 0 + 5 Combine like terms: 0 + 5 = 5 -1m = 5 Divide each side by '-1'. m = -5 Simplifying m = -5Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve: Simplifying 6 + -1m = 0 Solving 6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1m = 0 + -6 -1m = 0 + -6 Combine like terms: 0 + -6 = -6 -1m = -6 Divide each side by '-1'. m = 6 Simplifying m = 6Solution
m = {-5, 6}
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