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Simplifying m2 + -10m + -144 = 0 Reorder the terms: -144 + -10m + m2 = 0 Solving -144 + -10m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (-8 + -1m)(18 + -1m) = 0Subproblem 1
Set the factor '(-8 + -1m)' equal to zero and attempt to solve: Simplifying -8 + -1m = 0 Solving -8 + -1m = 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 + -1m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1m = 0 + 8 -1m = 0 + 8 Combine like terms: 0 + 8 = 8 -1m = 8 Divide each side by '-1'. m = -8 Simplifying m = -8Subproblem 2
Set the factor '(18 + -1m)' equal to zero and attempt to solve: Simplifying 18 + -1m = 0 Solving 18 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1m = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1m = 0 + -18 -1m = 0 + -18 Combine like terms: 0 + -18 = -18 -1m = -18 Divide each side by '-1'. m = 18 Simplifying m = 18Solution
m = {-8, 18}
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