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Simplifying 0 = 3m2 + 20m + -32 Reorder the terms: 0 = -32 + 20m + 3m2 Solving 0 = -32 + 20m + 3m2 Solving for variable 'm'. Combine like terms: 0 + 32 = 32 32 + -20m + -3m2 = -32 + 20m + 3m2 + 32 + -20m + -3m2 Reorder the terms: 32 + -20m + -3m2 = -32 + 32 + 20m + -20m + 3m2 + -3m2 Combine like terms: -32 + 32 = 0 32 + -20m + -3m2 = 0 + 20m + -20m + 3m2 + -3m2 32 + -20m + -3m2 = 20m + -20m + 3m2 + -3m2 Combine like terms: 20m + -20m = 0 32 + -20m + -3m2 = 0 + 3m2 + -3m2 32 + -20m + -3m2 = 3m2 + -3m2 Combine like terms: 3m2 + -3m2 = 0 32 + -20m + -3m2 = 0 Factor a trinomial. (4 + -3m)(8 + m) = 0Subproblem 1
Set the factor '(4 + -3m)' equal to zero and attempt to solve: Simplifying 4 + -3m = 0 Solving 4 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3m = 0 + -4 -3m = 0 + -4 Combine like terms: 0 + -4 = -4 -3m = -4 Divide each side by '-3'. m = 1.333333333 Simplifying m = 1.333333333Subproblem 2
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 = -8Solution
m = {1.333333333, -8}
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