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Simplifying (3m + 1)(m + -2) = 0 Reorder the terms: (1 + 3m)(m + -2) = 0 Reorder the terms: (1 + 3m)(-2 + m) = 0 Multiply (1 + 3m) * (-2 + m) (1(-2 + m) + 3m * (-2 + m)) = 0 ((-2 * 1 + m * 1) + 3m * (-2 + m)) = 0 ((-2 + 1m) + 3m * (-2 + m)) = 0 (-2 + 1m + (-2 * 3m + m * 3m)) = 0 (-2 + 1m + (-6m + 3m2)) = 0 Combine like terms: 1m + -6m = -5m (-2 + -5m + 3m2) = 0 Solving -2 + -5m + 3m2 = 0 Solving for variable 'm'. Factor a trinomial. (-1 + -3m)(2 + -1m) = 0Subproblem 1
Set the factor '(-1 + -3m)' equal to zero and attempt to solve: Simplifying -1 + -3m = 0 Solving -1 + -3m = 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 + -3m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3m = 0 + 1 -3m = 0 + 1 Combine like terms: 0 + 1 = 1 -3m = 1 Divide each side by '-3'. m = -0.3333333333 Simplifying m = -0.3333333333Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 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 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Solution
m = {-0.3333333333, 2}
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