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Simplifying 5m2 + 120 = 55m Reorder the terms: 120 + 5m2 = 55m Solving 120 + 5m2 = 55m Solving for variable 'm'. Reorder the terms: 120 + -55m + 5m2 = 55m + -55m Combine like terms: 55m + -55m = 0 120 + -55m + 5m2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(24 + -11m + m2) = 0 Factor a trinomial. 5((3 + -1m)(8 + -1m)) = 0 Ignore the factor 5.Subproblem 1
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 = 3Subproblem 2
Set the factor '(8 + -1m)' equal to zero and attempt to solve: Simplifying 8 + -1m = 0 Solving 8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 0 + -8 -1m = 0 + -8 Combine like terms: 0 + -8 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8Solution
m = {3, 8}
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