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Simplifying -1m2 + -23m + 24 = 0 Reorder the terms: 24 + -23m + -1m2 = 0 Solving 24 + -23m + -1m2 = 0 Solving for variable 'm'. Factor a trinomial. (1 + -1m)(24 + m) = 0Subproblem 1
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 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 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Subproblem 2
Set the factor '(24 + m)' equal to zero and attempt to solve: Simplifying 24 + m = 0 Solving 24 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + m = 0 + -24 Combine like terms: 24 + -24 = 0 0 + m = 0 + -24 m = 0 + -24 Combine like terms: 0 + -24 = -24 m = -24 Simplifying m = -24Solution
m = {1, -24}
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