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Simplifying m2 + -27m + -160 = 0 Reorder the terms: -160 + -27m + m2 = 0 Solving -160 + -27m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (-5 + -1m)(32 + -1m) = 0Subproblem 1
Set the factor '(-5 + -1m)' equal to zero and attempt to solve: Simplifying -5 + -1m = 0 Solving -5 + -1m = 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 + -1m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1m = 0 + 5 -1m = 0 + 5 Combine like terms: 0 + 5 = 5 -1m = 5 Divide each side by '-1'. m = -5 Simplifying m = -5Subproblem 2
Set the factor '(32 + -1m)' equal to zero and attempt to solve: Simplifying 32 + -1m = 0 Solving 32 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -1m = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -1m = 0 + -32 -1m = 0 + -32 Combine like terms: 0 + -32 = -32 -1m = -32 Divide each side by '-1'. m = 32 Simplifying m = 32Solution
m = {-5, 32}
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