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Simplifying 3m(8 + -3m) = 16 (8 * 3m + -3m * 3m) = 16 (24m + -9m2) = 16 Solving 24m + -9m2 = 16 Solving for variable 'm'. Reorder the terms: -16 + 24m + -9m2 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 24m + -9m2 = 0 Factor a trinomial. (-4 + 3m)(4 + -3m) = 0Subproblem 1
Set the factor '(-4 + 3m)' equal to zero and attempt to solve: Simplifying -4 + 3m = 0 Solving -4 + 3m = 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 + 3m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3m = 0 + 4 3m = 0 + 4 Combine like terms: 0 + 4 = 4 3m = 4 Divide each side by '3'. m = 1.333333333 Simplifying m = 1.333333333Subproblem 2
Set the factor '(4 + -3m)' equal to zero and attempt to solve: Simplifying 4 + -3m = 0 Solving 4 + -3m = 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 + -3m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3m = 0 + -4 -3m = 0 + -4 Combine like terms: 0 + -4 = -4 -3m = -4 Divide each side by '-3'. m = 1.333333333 Simplifying m = 1.333333333Solution
m = {1.333333333, 1.333333333}
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