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Simplifying 3m2 = 19m + -30 Reorder the terms: 3m2 = -30 + 19m Solving 3m2 = -30 + 19m Solving for variable 'm'. Reorder the terms: 30 + -19m + 3m2 = -30 + 19m + 30 + -19m Reorder the terms: 30 + -19m + 3m2 = -30 + 30 + 19m + -19m Combine like terms: -30 + 30 = 0 30 + -19m + 3m2 = 0 + 19m + -19m 30 + -19m + 3m2 = 19m + -19m Combine like terms: 19m + -19m = 0 30 + -19m + 3m2 = 0 Factor a trinomial. (3 + -1m)(10 + -3m) = 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 '(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 = {3, 3.333333333}
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