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Simplifying -1(m + 2)(m + -3) = 0 Reorder the terms: -1(2 + m)(m + -3) = 0 Reorder the terms: -1(2 + m)(-3 + m) = 0 Multiply (2 + m) * (-3 + m) -1(2(-3 + m) + m(-3 + m)) = 0 -1((-3 * 2 + m * 2) + m(-3 + m)) = 0 -1((-6 + 2m) + m(-3 + m)) = 0 -1(-6 + 2m + (-3 * m + m * m)) = 0 -1(-6 + 2m + (-3m + m2)) = 0 Combine like terms: 2m + -3m = -1m -1(-6 + -1m + m2) = 0 (-6 * -1 + -1m * -1 + m2 * -1) = 0 (6 + 1m + -1m2) = 0 Solving 6 + 1m + -1m2 = 0 Solving for variable 'm'. Factor a trinomial. (3 + -1m)(2 + m) = 0Subproblem 1
Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Subproblem 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 = {3, -2}
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