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Simplifying 3m2 = 23m + 8 Reorder the terms: 3m2 = 8 + 23m Solving 3m2 = 8 + 23m Solving for variable 'm'. Reorder the terms: -8 + -23m + 3m2 = 8 + 23m + -8 + -23m Reorder the terms: -8 + -23m + 3m2 = 8 + -8 + 23m + -23m Combine like terms: 8 + -8 = 0 -8 + -23m + 3m2 = 0 + 23m + -23m -8 + -23m + 3m2 = 23m + -23m Combine like terms: 23m + -23m = 0 -8 + -23m + 3m2 = 0 Factor a trinomial. (-1 + -3m)(8 + -1m) = 0Subproblem 1
Set the factor '(-1 + -3m)' equal to zero and attempt to solve: Simplifying -1 + -3m = 0 Solving -1 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3m = 0 + 1 -3m = 0 + 1 Combine like terms: 0 + 1 = 1 -3m = 1 Divide each side by '-3'. m = -0.3333333333 Simplifying m = -0.3333333333Subproblem 2
Set the factor '(8 + -1m)' equal to zero and attempt to solve: Simplifying 8 + -1m = 0 Solving 8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 0 + -8 -1m = 0 + -8 Combine like terms: 0 + -8 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8Solution
m = {-0.3333333333, 8}
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