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Simplifying 6m2 = 24m + 270 Reorder the terms: 6m2 = 270 + 24m Solving 6m2 = 270 + 24m Solving for variable 'm'. Reorder the terms: -270 + -24m + 6m2 = 270 + 24m + -270 + -24m Reorder the terms: -270 + -24m + 6m2 = 270 + -270 + 24m + -24m Combine like terms: 270 + -270 = 0 -270 + -24m + 6m2 = 0 + 24m + -24m -270 + -24m + 6m2 = 24m + -24m Combine like terms: 24m + -24m = 0 -270 + -24m + 6m2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-45 + -4m + m2) = 0 Factor a trinomial. 6((-5 + -1m)(9 + -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 '(9 + -1m)' equal to zero and attempt to solve: Simplifying 9 + -1m = 0 Solving 9 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1m = 0 + -9 -1m = 0 + -9 Combine like terms: 0 + -9 = -9 -1m = -9 Divide each side by '-1'. m = 9 Simplifying m = 9Solution
m = {-5, 9}
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