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Simplifying 3m(m + 5) + 4(m + 5) = 0 Reorder the terms: 3m(5 + m) + 4(m + 5) = 0 (5 * 3m + m * 3m) + 4(m + 5) = 0 (15m + 3m2) + 4(m + 5) = 0 Reorder the terms: 15m + 3m2 + 4(5 + m) = 0 15m + 3m2 + (5 * 4 + m * 4) = 0 15m + 3m2 + (20 + 4m) = 0 Reorder the terms: 20 + 15m + 4m + 3m2 = 0 Combine like terms: 15m + 4m = 19m 20 + 19m + 3m2 = 0 Solving 20 + 19m + 3m2 = 0 Solving for variable 'm'. Factor a trinomial. (5 + m)(4 + 3m) = 0Subproblem 1
Set the factor '(5 + m)' equal to zero and attempt to solve: Simplifying 5 + m = 0 Solving 5 + m = 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 + m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + m = 0 + -5 m = 0 + -5 Combine like terms: 0 + -5 = -5 m = -5 Simplifying m = -5Subproblem 2
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 = -1.333333333Solution
m = {-5, -1.333333333}
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