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Simplifying (3m + 7)(2m + -1) = 0 Reorder the terms: (7 + 3m)(2m + -1) = 0 Reorder the terms: (7 + 3m)(-1 + 2m) = 0 Multiply (7 + 3m) * (-1 + 2m) (7(-1 + 2m) + 3m * (-1 + 2m)) = 0 ((-1 * 7 + 2m * 7) + 3m * (-1 + 2m)) = 0 ((-7 + 14m) + 3m * (-1 + 2m)) = 0 (-7 + 14m + (-1 * 3m + 2m * 3m)) = 0 (-7 + 14m + (-3m + 6m2)) = 0 Combine like terms: 14m + -3m = 11m (-7 + 11m + 6m2) = 0 Solving -7 + 11m + 6m2 = 0 Solving for variable 'm'. Factor a trinomial. (-7 + -3m)(1 + -2m) = 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 + -2m)' equal to zero and attempt to solve: Simplifying 1 + -2m = 0 Solving 1 + -2m = 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 + -2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2m = 0 + -1 -2m = 0 + -1 Combine like terms: 0 + -1 = -1 -2m = -1 Divide each side by '-2'. m = 0.5 Simplifying m = 0.5Solution
m = {-2.333333333, 0.5}
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