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Simplifying 9m2 + 20 = 4 + -24m Reorder the terms: 20 + 9m2 = 4 + -24m Solving 20 + 9m2 = 4 + -24m Solving for variable 'm'. Reorder the terms: 20 + -4 + 24m + 9m2 = 4 + -24m + -4 + 24m Combine like terms: 20 + -4 = 16 16 + 24m + 9m2 = 4 + -24m + -4 + 24m Reorder the terms: 16 + 24m + 9m2 = 4 + -4 + -24m + 24m Combine like terms: 4 + -4 = 0 16 + 24m + 9m2 = 0 + -24m + 24m 16 + 24m + 9m2 = -24m + 24m Combine like terms: -24m + 24m = 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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