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Simplifying 4n2 + 24n + 25 = 4n Reorder the terms: 25 + 24n + 4n2 = 4n Solving 25 + 24n + 4n2 = 4n Solving for variable 'n'. Reorder the terms: 25 + 24n + -4n + 4n2 = 4n + -4n Combine like terms: 24n + -4n = 20n 25 + 20n + 4n2 = 4n + -4n Combine like terms: 4n + -4n = 0 25 + 20n + 4n2 = 0 Factor a trinomial. (5 + 2n)(5 + 2n) = 0Subproblem 1
Set the factor '(5 + 2n)' equal to zero and attempt to solve: Simplifying 5 + 2n = 0 Solving 5 + 2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2n = 0 + -5 2n = 0 + -5 Combine like terms: 0 + -5 = -5 2n = -5 Divide each side by '2'. n = -2.5 Simplifying n = -2.5Subproblem 2
Set the factor '(5 + 2n)' equal to zero and attempt to solve: Simplifying 5 + 2n = 0 Solving 5 + 2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2n = 0 + -5 2n = 0 + -5 Combine like terms: 0 + -5 = -5 2n = -5 Divide each side by '2'. n = -2.5 Simplifying n = -2.5Solution
n = {-2.5, -2.5}
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