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Simplifying (m + 1)(3m + 7) = 0 Reorder the terms: (1 + m)(3m + 7) = 0 Reorder the terms: (1 + m)(7 + 3m) = 0 Multiply (1 + m) * (7 + 3m) (1(7 + 3m) + m(7 + 3m)) = 0 ((7 * 1 + 3m * 1) + m(7 + 3m)) = 0 ((7 + 3m) + m(7 + 3m)) = 0 (7 + 3m + (7 * m + 3m * m)) = 0 (7 + 3m + (7m + 3m2)) = 0 Combine like terms: 3m + 7m = 10m (7 + 10m + 3m2) = 0 Solving 7 + 10m + 3m2 = 0 Solving for variable 'm'. Factor a trinomial. (7 + 3m)(1 + m) = 0Subproblem 1
Set the factor '(7 + 3m)' equal to zero and attempt to solve: Simplifying 7 + 3m = 0 Solving 7 + 3m = 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 + 3m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3m = 0 + -7 3m = 0 + -7 Combine like terms: 0 + -7 = -7 3m = -7 Divide each side by '3'. m = -2.333333333 Simplifying m = -2.333333333Subproblem 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 = {-2.333333333, -1}
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