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Simplifying 58m = -30m2 + -5m + -24 Reorder the terms: 58m = -24 + -5m + -30m2 Solving 58m = -24 + -5m + -30m2 Solving for variable 'm'. Reorder the terms: 24 + 58m + 5m + 30m2 = -24 + -5m + -30m2 + 24 + 5m + 30m2 Combine like terms: 58m + 5m = 63m 24 + 63m + 30m2 = -24 + -5m + -30m2 + 24 + 5m + 30m2 Reorder the terms: 24 + 63m + 30m2 = -24 + 24 + -5m + 5m + -30m2 + 30m2 Combine like terms: -24 + 24 = 0 24 + 63m + 30m2 = 0 + -5m + 5m + -30m2 + 30m2 24 + 63m + 30m2 = -5m + 5m + -30m2 + 30m2 Combine like terms: -5m + 5m = 0 24 + 63m + 30m2 = 0 + -30m2 + 30m2 24 + 63m + 30m2 = -30m2 + 30m2 Combine like terms: -30m2 + 30m2 = 0 24 + 63m + 30m2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(8 + 21m + 10m2) = 0 Factor a trinomial. 3((8 + 5m)(1 + 2m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(8 + 5m)' equal to zero and attempt to solve: Simplifying 8 + 5m = 0 Solving 8 + 5m = 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 + 5m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5m = 0 + -8 5m = 0 + -8 Combine like terms: 0 + -8 = -8 5m = -8 Divide each side by '5'. m = -1.6 Simplifying m = -1.6Subproblem 2
Set the factor '(1 + 2m)' equal to zero and attempt to solve: Simplifying 1 + 2m = 0 Solving 1 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2m = 0 + -1 2m = 0 + -1 Combine like terms: 0 + -1 = -1 2m = -1 Divide each side by '2'. m = -0.5 Simplifying m = -0.5Solution
m = {-1.6, -0.5}
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