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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. (-5 + -1m)(19 + -3m) = 0Subproblem 1
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 = -5Subproblem 2
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 = 6.333333333Solution
m = {-5, 6.333333333}
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