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Simplifying m2 + -22m + 120 = 0 Reorder the terms: 120 + -22m + m2 = 0 Solving 120 + -22m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (10 + -1m)(12 + -1m) = 0Subproblem 1
Set the factor '(10 + -1m)' equal to zero and attempt to solve: Simplifying 10 + -1m = 0 Solving 10 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1m = 0 + -10 -1m = 0 + -10 Combine like terms: 0 + -10 = -10 -1m = -10 Divide each side by '-1'. m = 10 Simplifying m = 10Subproblem 2
Set the factor '(12 + -1m)' equal to zero and attempt to solve: Simplifying 12 + -1m = 0 Solving 12 + -1m = 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 + -1m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1m = 0 + -12 -1m = 0 + -12 Combine like terms: 0 + -12 = -12 -1m = -12 Divide each side by '-1'. m = 12 Simplifying m = 12Solution
m = {10, 12}
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