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Simplifying 5m2 + m = 120 Reorder the terms: m + 5m2 = 120 Solving m + 5m2 = 120 Solving for variable 'm'. Reorder the terms: -120 + m + 5m2 = 120 + -120 Combine like terms: 120 + -120 = 0 -120 + m + 5m2 = 0 Factor a trinomial. (-5 + -1m)(24 + -5m) = 0Subproblem 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 '(24 + -5m)' equal to zero and attempt to solve: Simplifying 24 + -5m = 0 Solving 24 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -5m = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -5m = 0 + -24 -5m = 0 + -24 Combine like terms: 0 + -24 = -24 -5m = -24 Divide each side by '-5'. m = 4.8 Simplifying m = 4.8Solution
m = {-5, 4.8}
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