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Simplifying (3m + -5)(m + 3) = 0 Reorder the terms: (-5 + 3m)(m + 3) = 0 Reorder the terms: (-5 + 3m)(3 + m) = 0 Multiply (-5 + 3m) * (3 + m) (-5(3 + m) + 3m * (3 + m)) = 0 ((3 * -5 + m * -5) + 3m * (3 + m)) = 0 ((-15 + -5m) + 3m * (3 + m)) = 0 (-15 + -5m + (3 * 3m + m * 3m)) = 0 (-15 + -5m + (9m + 3m2)) = 0 Combine like terms: -5m + 9m = 4m (-15 + 4m + 3m2) = 0 Solving -15 + 4m + 3m2 = 0 Solving for variable 'm'. Factor a trinomial. (-3 + -1m)(5 + -3m) = 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 '(5 + -3m)' equal to zero and attempt to solve: Simplifying 5 + -3m = 0 Solving 5 + -3m = 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 + -3m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3m = 0 + -5 -3m = 0 + -5 Combine like terms: 0 + -5 = -5 -3m = -5 Divide each side by '-3'. m = 1.666666667 Simplifying m = 1.666666667Solution
m = {-3, 1.666666667}
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