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Simplifying -1m2 + -10m = -24 Reorder the terms: -10m + -1m2 = -24 Solving -10m + -1m2 = -24 Solving for variable 'm'. Reorder the terms: 24 + -10m + -1m2 = -24 + 24 Combine like terms: -24 + 24 = 0 24 + -10m + -1m2 = 0 Factor a trinomial. (2 + -1m)(12 + m) = 0Subproblem 1
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Subproblem 2
Set the factor '(12 + m)' equal to zero and attempt to solve: Simplifying 12 + m = 0 Solving 12 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + m = 0 + -12 m = 0 + -12 Combine like terms: 0 + -12 = -12 m = -12 Simplifying m = -12Solution
m = {2, -12}
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