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Simplifying 2m2 + 19m + 40 = -2m Reorder the terms: 40 + 19m + 2m2 = -2m Solving 40 + 19m + 2m2 = -2m Solving for variable 'm'. Reorder the terms: 40 + 19m + 2m + 2m2 = -2m + 2m Combine like terms: 19m + 2m = 21m 40 + 21m + 2m2 = -2m + 2m Combine like terms: -2m + 2m = 0 40 + 21m + 2m2 = 0 Factor a trinomial. (8 + m)(5 + 2m) = 0Subproblem 1
Set the factor '(8 + m)' equal to zero and attempt to solve: Simplifying 8 + m = 0 Solving 8 + m = 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 + m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + m = 0 + -8 m = 0 + -8 Combine like terms: 0 + -8 = -8 m = -8 Simplifying m = -8Subproblem 2
Set the factor '(5 + 2m)' equal to zero and attempt to solve: Simplifying 5 + 2m = 0 Solving 5 + 2m = 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 + 2m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2m = 0 + -5 2m = 0 + -5 Combine like terms: 0 + -5 = -5 2m = -5 Divide each side by '2'. m = -2.5 Simplifying m = -2.5Solution
m = {-8, -2.5}
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