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Simplifying (3m + 2)(m + 7) = 0 Reorder the terms: (2 + 3m)(m + 7) = 0 Reorder the terms: (2 + 3m)(7 + m) = 0 Multiply (2 + 3m) * (7 + m) (2(7 + m) + 3m * (7 + m)) = 0 ((7 * 2 + m * 2) + 3m * (7 + m)) = 0 ((14 + 2m) + 3m * (7 + m)) = 0 (14 + 2m + (7 * 3m + m * 3m)) = 0 (14 + 2m + (21m + 3m2)) = 0 Combine like terms: 2m + 21m = 23m (14 + 23m + 3m2) = 0 Solving 14 + 23m + 3m2 = 0 Solving for variable 'm'. Factor a trinomial. (7 + m)(2 + 3m) = 0Subproblem 1
Set the factor '(7 + m)' equal to zero and attempt to solve: Simplifying 7 + m = 0 Solving 7 + m = 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 + m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + m = 0 + -7 m = 0 + -7 Combine like terms: 0 + -7 = -7 m = -7 Simplifying m = -7Subproblem 2
Set the factor '(2 + 3m)' equal to zero and attempt to solve: Simplifying 2 + 3m = 0 Solving 2 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3m = 0 + -2 3m = 0 + -2 Combine like terms: 0 + -2 = -2 3m = -2 Divide each side by '3'. m = -0.6666666667 Simplifying m = -0.6666666667Solution
m = {-7, -0.6666666667}
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