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Simplifying 3m2 = 95 + -4m Solving 3m2 = 95 + -4m Solving for variable 'm'. Reorder the terms: -95 + 4m + 3m2 = 95 + -4m + -95 + 4m Reorder the terms: -95 + 4m + 3m2 = 95 + -95 + -4m + 4m Combine like terms: 95 + -95 = 0 -95 + 4m + 3m2 = 0 + -4m + 4m -95 + 4m + 3m2 = -4m + 4m Combine like terms: -4m + 4m = 0 -95 + 4m + 3m2 = 0 Factor a trinomial. (-19 + -3m)(5 + -1m) = 0Subproblem 1
Set the factor '(-19 + -3m)' equal to zero and attempt to solve: Simplifying -19 + -3m = 0 Solving -19 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -3m = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -3m = 0 + 19 -3m = 0 + 19 Combine like terms: 0 + 19 = 19 -3m = 19 Divide each side by '-3'. m = -6.333333333 Simplifying m = -6.333333333Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 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 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Solution
m = {-6.333333333, 5}
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