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Simplifying (5m + -2)(m + 3) = 0 Reorder the terms: (-2 + 5m)(m + 3) = 0 Reorder the terms: (-2 + 5m)(3 + m) = 0 Multiply (-2 + 5m) * (3 + m) (-2(3 + m) + 5m * (3 + m)) = 0 ((3 * -2 + m * -2) + 5m * (3 + m)) = 0 ((-6 + -2m) + 5m * (3 + m)) = 0 (-6 + -2m + (3 * 5m + m * 5m)) = 0 (-6 + -2m + (15m + 5m2)) = 0 Combine like terms: -2m + 15m = 13m (-6 + 13m + 5m2) = 0 Solving -6 + 13m + 5m2 = 0 Solving for variable 'm'. Factor a trinomial. (-3 + -1m)(2 + -5m) = 0Subproblem 1
Set the factor '(-3 + -1m)' equal to zero and attempt to solve: Simplifying -3 + -1m = 0 Solving -3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1m = 0 + 3 -1m = 0 + 3 Combine like terms: 0 + 3 = 3 -1m = 3 Divide each side by '-1'. m = -3 Simplifying m = -3Subproblem 2
Set the factor '(2 + -5m)' equal to zero and attempt to solve: Simplifying 2 + -5m = 0 Solving 2 + -5m = 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 + -5m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5m = 0 + -2 -5m = 0 + -2 Combine like terms: 0 + -2 = -2 -5m = -2 Divide each side by '-5'. m = 0.4 Simplifying m = 0.4Solution
m = {-3, 0.4}
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