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Simplifying 3m2 = 11m + 144 Reorder the terms: 3m2 = 144 + 11m Solving 3m2 = 144 + 11m Solving for variable 'm'. Reorder the terms: -144 + -11m + 3m2 = 144 + 11m + -144 + -11m Reorder the terms: -144 + -11m + 3m2 = 144 + -144 + 11m + -11m Combine like terms: 144 + -144 = 0 -144 + -11m + 3m2 = 0 + 11m + -11m -144 + -11m + 3m2 = 11m + -11m Combine like terms: 11m + -11m = 0 -144 + -11m + 3m2 = 0 Factor a trinomial. (-16 + -3m)(9 + -1m) = 0Subproblem 1
Set the factor '(-16 + -3m)' equal to zero and attempt to solve: Simplifying -16 + -3m = 0 Solving -16 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -3m = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -3m = 0 + 16 -3m = 0 + 16 Combine like terms: 0 + 16 = 16 -3m = 16 Divide each side by '-3'. m = -5.333333333 Simplifying m = -5.333333333Subproblem 2
Set the factor '(9 + -1m)' equal to zero and attempt to solve: Simplifying 9 + -1m = 0 Solving 9 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1m = 0 + -9 -1m = 0 + -9 Combine like terms: 0 + -9 = -9 -1m = -9 Divide each side by '-1'. m = 9 Simplifying m = 9Solution
m = {-5.333333333, 9}
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