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Simplifying (m + -2)(m + -3) = 20 Reorder the terms: (-2 + m)(m + -3) = 20 Reorder the terms: (-2 + m)(-3 + m) = 20 Multiply (-2 + m) * (-3 + m) (-2(-3 + m) + m(-3 + m)) = 20 ((-3 * -2 + m * -2) + m(-3 + m)) = 20 ((6 + -2m) + m(-3 + m)) = 20 (6 + -2m + (-3 * m + m * m)) = 20 (6 + -2m + (-3m + m2)) = 20 Combine like terms: -2m + -3m = -5m (6 + -5m + m2) = 20 Solving 6 + -5m + m2 = 20 Solving for variable 'm'. Reorder the terms: 6 + -20 + -5m + m2 = 20 + -20 Combine like terms: 6 + -20 = -14 -14 + -5m + m2 = 20 + -20 Combine like terms: 20 + -20 = 0 -14 + -5m + m2 = 0 Factor a trinomial. (-2 + -1m)(7 + -1m) = 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 '(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 = 7Solution
m = {-2, 7}
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