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Simplifying (2m + 4)(m + -5) = 0 Reorder the terms: (4 + 2m)(m + -5) = 0 Reorder the terms: (4 + 2m)(-5 + m) = 0 Multiply (4 + 2m) * (-5 + m) (4(-5 + m) + 2m * (-5 + m)) = 0 ((-5 * 4 + m * 4) + 2m * (-5 + m)) = 0 ((-20 + 4m) + 2m * (-5 + m)) = 0 (-20 + 4m + (-5 * 2m + m * 2m)) = 0 (-20 + 4m + (-10m + 2m2)) = 0 Combine like terms: 4m + -10m = -6m (-20 + -6m + 2m2) = 0 Solving -20 + -6m + 2m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + -3m + m2) = 0 Factor a trinomial. 2((-2 + -1m)(5 + -1m)) = 0 Ignore the factor 2.Subproblem 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 '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 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 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Solution
m = {-2, 5}
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