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Simplifying 0 = m2 + -5m + -14 Reorder the terms: 0 = -14 + -5m + m2 Solving 0 = -14 + -5m + m2 Solving for variable 'm'. Combine like terms: 0 + 14 = 14 14 + 5m + -1m2 = -14 + -5m + m2 + 14 + 5m + -1m2 Reorder the terms: 14 + 5m + -1m2 = -14 + 14 + -5m + 5m + m2 + -1m2 Combine like terms: -14 + 14 = 0 14 + 5m + -1m2 = 0 + -5m + 5m + m2 + -1m2 14 + 5m + -1m2 = -5m + 5m + m2 + -1m2 Combine like terms: -5m + 5m = 0 14 + 5m + -1m2 = 0 + m2 + -1m2 14 + 5m + -1m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 14 + 5m + -1m2 = 0 Factor a trinomial. (7 + -1m)(2 + m) = 0Subproblem 1
Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7Subproblem 2
Set the factor '(2 + m)' equal to zero and attempt to solve: Simplifying 2 + m = 0 Solving 2 + m = 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 + m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m = 0 + -2 m = 0 + -2 Combine like terms: 0 + -2 = -2 m = -2 Simplifying m = -2Solution
m = {7, -2}
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