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Simplifying 30m2 + -91m + -30 = 0 Reorder the terms: -30 + -91m + 30m2 = 0 Solving -30 + -91m + 30m2 = 0 Solving for variable 'm'. Factor a trinomial. (-3 + -10m)(10 + -3m) = 0Subproblem 1
Set the factor '(-3 + -10m)' equal to zero and attempt to solve: Simplifying -3 + -10m = 0 Solving -3 + -10m = 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 + -10m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -10m = 0 + 3 -10m = 0 + 3 Combine like terms: 0 + 3 = 3 -10m = 3 Divide each side by '-10'. m = -0.3 Simplifying m = -0.3Subproblem 2
Set the factor '(10 + -3m)' equal to zero and attempt to solve: Simplifying 10 + -3m = 0 Solving 10 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3m = 0 + -10 -3m = 0 + -10 Combine like terms: 0 + -10 = -10 -3m = -10 Divide each side by '-3'. m = 3.333333333 Simplifying m = 3.333333333Solution
m = {-0.3, 3.333333333}
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