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Simplifying 5m2 + -120 = 25m Reorder the terms: -120 + 5m2 = 25m Solving -120 + 5m2 = 25m Solving for variable 'm'. Reorder the terms: -120 + -25m + 5m2 = 25m + -25m Combine like terms: 25m + -25m = 0 -120 + -25m + 5m2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-24 + -5m + 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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