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Simplifying 2m2 + 14m + -110 = 5m Reorder the terms: -110 + 14m + 2m2 = 5m Solving -110 + 14m + 2m2 = 5m Solving for variable 'm'. Reorder the terms: -110 + 14m + -5m + 2m2 = 5m + -5m Combine like terms: 14m + -5m = 9m -110 + 9m + 2m2 = 5m + -5m Combine like terms: 5m + -5m = 0 -110 + 9m + 2m2 = 0 Factor a trinomial. (-10 + -1m)(11 + -2m) = 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 '(11 + -2m)' equal to zero and attempt to solve: Simplifying 11 + -2m = 0 Solving 11 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2m = 0 + -11 -2m = 0 + -11 Combine like terms: 0 + -11 = -11 -2m = -11 Divide each side by '-2'. m = 5.5 Simplifying m = 5.5Solution
m = {-10, 5.5}
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