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Simplifying (5m + -1)(m + 2) = 0 Reorder the terms: (-1 + 5m)(m + 2) = 0 Reorder the terms: (-1 + 5m)(2 + m) = 0 Multiply (-1 + 5m) * (2 + m) (-1(2 + m) + 5m * (2 + m)) = 0 ((2 * -1 + m * -1) + 5m * (2 + m)) = 0 ((-2 + -1m) + 5m * (2 + m)) = 0 (-2 + -1m + (2 * 5m + m * 5m)) = 0 (-2 + -1m + (10m + 5m2)) = 0 Combine like terms: -1m + 10m = 9m (-2 + 9m + 5m2) = 0 Solving -2 + 9m + 5m2 = 0 Solving for variable 'm'. Factor a trinomial. (-2 + -1m)(1 + -5m) = 0Subproblem 1
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 = -2Subproblem 2
Set the factor '(1 + -5m)' equal to zero and attempt to solve: Simplifying 1 + -5m = 0 Solving 1 + -5m = 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 + -5m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5m = 0 + -1 -5m = 0 + -1 Combine like terms: 0 + -1 = -1 -5m = -1 Divide each side by '-5'. m = 0.2 Simplifying m = 0.2Solution
m = {-2, 0.2}
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