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Simplifying 4n2 + 25n + 36 = 0 Reorder the terms: 36 + 25n + 4n2 = 0 Solving 36 + 25n + 4n2 = 0 Solving for variable 'n'. Factor a trinomial. (4 + n)(9 + 4n) = 0Subproblem 1
Set the factor '(4 + n)' equal to zero and attempt to solve: Simplifying 4 + n = 0 Solving 4 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + n = 0 + -4 n = 0 + -4 Combine like terms: 0 + -4 = -4 n = -4 Simplifying n = -4Subproblem 2
Set the factor '(9 + 4n)' equal to zero and attempt to solve: Simplifying 9 + 4n = 0 Solving 9 + 4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4n = 0 + -9 4n = 0 + -9 Combine like terms: 0 + -9 = -9 4n = -9 Divide each side by '4'. n = -2.25 Simplifying n = -2.25Solution
n = {-4, -2.25}
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