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Simplifying (2m + 5)(m + -3) = 0 Reorder the terms: (5 + 2m)(m + -3) = 0 Reorder the terms: (5 + 2m)(-3 + m) = 0 Multiply (5 + 2m) * (-3 + m) (5(-3 + m) + 2m * (-3 + m)) = 0 ((-3 * 5 + m * 5) + 2m * (-3 + m)) = 0 ((-15 + 5m) + 2m * (-3 + m)) = 0 (-15 + 5m + (-3 * 2m + m * 2m)) = 0 (-15 + 5m + (-6m + 2m2)) = 0 Combine like terms: 5m + -6m = -1m (-15 + -1m + 2m2) = 0 Solving -15 + -1m + 2m2 = 0 Solving for variable 'm'. Factor a trinomial. (-5 + -2m)(3 + -1m) = 0Subproblem 1
Set the factor '(-5 + -2m)' equal to zero and attempt to solve: Simplifying -5 + -2m = 0 Solving -5 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2m = 0 + 5 -2m = 0 + 5 Combine like terms: 0 + 5 = 5 -2m = 5 Divide each side by '-2'. m = -2.5 Simplifying m = -2.5Subproblem 2
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 = 3Solution
m = {-2.5, 3}
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