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Simplifying 3m2 = 28m + -64 Reorder the terms: 3m2 = -64 + 28m Solving 3m2 = -64 + 28m Solving for variable 'm'. Reorder the terms: 64 + -28m + 3m2 = -64 + 28m + 64 + -28m Reorder the terms: 64 + -28m + 3m2 = -64 + 64 + 28m + -28m Combine like terms: -64 + 64 = 0 64 + -28m + 3m2 = 0 + 28m + -28m 64 + -28m + 3m2 = 28m + -28m Combine like terms: 28m + -28m = 0 64 + -28m + 3m2 = 0 Factor a trinomial. (4 + -1m)(16 + -3m) = 0Subproblem 1
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Subproblem 2
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 = 5.333333333Solution
m = {4, 5.333333333}
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