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Simplifying (m + 3)(5m + 1) = 3(m + -4) + 7 Reorder the terms: (3 + m)(5m + 1) = 3(m + -4) + 7 Reorder the terms: (3 + m)(1 + 5m) = 3(m + -4) + 7 Multiply (3 + m) * (1 + 5m) (3(1 + 5m) + m(1 + 5m)) = 3(m + -4) + 7 ((1 * 3 + 5m * 3) + m(1 + 5m)) = 3(m + -4) + 7 ((3 + 15m) + m(1 + 5m)) = 3(m + -4) + 7 (3 + 15m + (1 * m + 5m * m)) = 3(m + -4) + 7 (3 + 15m + (1m + 5m2)) = 3(m + -4) + 7 Combine like terms: 15m + 1m = 16m (3 + 16m + 5m2) = 3(m + -4) + 7 Reorder the terms: 3 + 16m + 5m2 = 3(-4 + m) + 7 3 + 16m + 5m2 = (-4 * 3 + m * 3) + 7 3 + 16m + 5m2 = (-12 + 3m) + 7 Reorder the terms: 3 + 16m + 5m2 = -12 + 7 + 3m Combine like terms: -12 + 7 = -5 3 + 16m + 5m2 = -5 + 3m Solving 3 + 16m + 5m2 = -5 + 3m Solving for variable 'm'. Reorder the terms: 3 + 5 + 16m + -3m + 5m2 = -5 + 3m + 5 + -3m Combine like terms: 3 + 5 = 8 8 + 16m + -3m + 5m2 = -5 + 3m + 5 + -3m Combine like terms: 16m + -3m = 13m 8 + 13m + 5m2 = -5 + 3m + 5 + -3m Reorder the terms: 8 + 13m + 5m2 = -5 + 5 + 3m + -3m Combine like terms: -5 + 5 = 0 8 + 13m + 5m2 = 0 + 3m + -3m 8 + 13m + 5m2 = 3m + -3m Combine like terms: 3m + -3m = 0 8 + 13m + 5m2 = 0 Factor a trinomial. (8 + 5m)(1 + m) = 0Subproblem 1
Set the factor '(8 + 5m)' equal to zero and attempt to solve: Simplifying 8 + 5m = 0 Solving 8 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5m = 0 + -8 5m = 0 + -8 Combine like terms: 0 + -8 = -8 5m = -8 Divide each side by '5'. m = -1.6 Simplifying m = -1.6Subproblem 2
Set the factor '(1 + m)' equal to zero and attempt to solve: Simplifying 1 + m = 0 Solving 1 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + m = 0 + -1 m = 0 + -1 Combine like terms: 0 + -1 = -1 m = -1 Simplifying m = -1Solution
m = {-1.6, -1}
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