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Simplifying (3m + -2)(9m + 5) = 0 Reorder the terms: (-2 + 3m)(9m + 5) = 0 Reorder the terms: (-2 + 3m)(5 + 9m) = 0 Multiply (-2 + 3m) * (5 + 9m) (-2(5 + 9m) + 3m * (5 + 9m)) = 0 ((5 * -2 + 9m * -2) + 3m * (5 + 9m)) = 0 ((-10 + -18m) + 3m * (5 + 9m)) = 0 (-10 + -18m + (5 * 3m + 9m * 3m)) = 0 (-10 + -18m + (15m + 27m2)) = 0 Combine like terms: -18m + 15m = -3m (-10 + -3m + 27m2) = 0 Solving -10 + -3m + 27m2 = 0 Solving for variable 'm'. Factor a trinomial. (-5 + -9m)(2 + -3m) = 0Subproblem 1
Set the factor '(-5 + -9m)' equal to zero and attempt to solve: Simplifying -5 + -9m = 0 Solving -5 + -9m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -9m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9m = 0 + 5 -9m = 0 + 5 Combine like terms: 0 + 5 = 5 -9m = 5 Divide each side by '-9'. m = -0.5555555556 Simplifying m = -0.5555555556Subproblem 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 = {-0.5555555556, 0.6666666667}
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