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Simplifying (3m + 4)(m + -5) = 0 Reorder the terms: (4 + 3m)(m + -5) = 0 Reorder the terms: (4 + 3m)(-5 + m) = 0 Multiply (4 + 3m) * (-5 + m) (4(-5 + m) + 3m * (-5 + m)) = 0 ((-5 * 4 + m * 4) + 3m * (-5 + m)) = 0 ((-20 + 4m) + 3m * (-5 + m)) = 0 (-20 + 4m + (-5 * 3m + m * 3m)) = 0 (-20 + 4m + (-15m + 3m2)) = 0 Combine like terms: 4m + -15m = -11m (-20 + -11m + 3m2) = 0 Solving -20 + -11m + 3m2 = 0 Solving for variable 'm'. Factor a trinomial. (-4 + -3m)(5 + -1m) = 0Subproblem 1
Set the factor '(-4 + -3m)' equal to zero and attempt to solve: Simplifying -4 + -3m = 0 Solving -4 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3m = 0 + 4 -3m = 0 + 4 Combine like terms: 0 + 4 = 4 -3m = 4 Divide each side by '-3'. m = -1.333333333 Simplifying m = -1.333333333Subproblem 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 = {-1.333333333, 5}
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