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Simplifying 3m2 + 23m + 32 = -8 Reorder the terms: 32 + 23m + 3m2 = -8 Solving 32 + 23m + 3m2 = -8 Solving for variable 'm'. Reorder the terms: 32 + 8 + 23m + 3m2 = -8 + 8 Combine like terms: 32 + 8 = 40 40 + 23m + 3m2 = -8 + 8 Combine like terms: -8 + 8 = 0 40 + 23m + 3m2 = 0 Factor a trinomial. (5 + m)(8 + 3m) = 0Subproblem 1
Set the factor '(5 + m)' equal to zero and attempt to solve: Simplifying 5 + m = 0 Solving 5 + m = 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 + m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + m = 0 + -5 m = 0 + -5 Combine like terms: 0 + -5 = -5 m = -5 Simplifying m = -5Subproblem 2
Set the factor '(8 + 3m)' equal to zero and attempt to solve: Simplifying 8 + 3m = 0 Solving 8 + 3m = 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 + 3m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3m = 0 + -8 3m = 0 + -8 Combine like terms: 0 + -8 = -8 3m = -8 Divide each side by '3'. m = -2.666666667 Simplifying m = -2.666666667Solution
m = {-5, -2.666666667}
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