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Simplifying (m + 3)(m + 4m + 7) = 0 Reorder the terms: (3 + m)(m + 4m + 7) = 0 Reorder the terms: (3 + m)(7 + m + 4m) = 0 Combine like terms: m + 4m = 5m (3 + m)(7 + 5m) = 0 Multiply (3 + m) * (7 + 5m) (3(7 + 5m) + m(7 + 5m)) = 0 ((7 * 3 + 5m * 3) + m(7 + 5m)) = 0 ((21 + 15m) + m(7 + 5m)) = 0 (21 + 15m + (7 * m + 5m * m)) = 0 (21 + 15m + (7m + 5m2)) = 0 Combine like terms: 15m + 7m = 22m (21 + 22m + 5m2) = 0 Solving 21 + 22m + 5m2 = 0 Solving for variable 'm'. Factor a trinomial. (3 + m)(7 + 5m) = 0Subproblem 1
Set the factor '(3 + m)' equal to zero and attempt to solve: Simplifying 3 + m = 0 Solving 3 + m = 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 + m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m = 0 + -3 m = 0 + -3 Combine like terms: 0 + -3 = -3 m = -3 Simplifying m = -3Subproblem 2
Set the factor '(7 + 5m)' equal to zero and attempt to solve: Simplifying 7 + 5m = 0 Solving 7 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5m = 0 + -7 5m = 0 + -7 Combine like terms: 0 + -7 = -7 5m = -7 Divide each side by '5'. m = -1.4 Simplifying m = -1.4Solution
m = {-3, -1.4}
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