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Simplifying 36n2 + 60n + 25 = 0 Reorder the terms: 25 + 60n + 36n2 = 0 Solving 25 + 60n + 36n2 = 0 Solving for variable 'n'. Factor a trinomial. (5 + 6n)(5 + 6n) = 0Subproblem 1
Set the factor '(5 + 6n)' equal to zero and attempt to solve: Simplifying 5 + 6n = 0 Solving 5 + 6n = 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 + 6n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6n = 0 + -5 6n = 0 + -5 Combine like terms: 0 + -5 = -5 6n = -5 Divide each side by '6'. n = -0.8333333333 Simplifying n = -0.8333333333Subproblem 2
Set the factor '(5 + 6n)' equal to zero and attempt to solve: Simplifying 5 + 6n = 0 Solving 5 + 6n = 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 + 6n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6n = 0 + -5 6n = 0 + -5 Combine like terms: 0 + -5 = -5 6n = -5 Divide each side by '6'. n = -0.8333333333 Simplifying n = -0.8333333333Solution
n = {-0.8333333333, -0.8333333333}
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