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Simplifying 3n2 = -25 + -20n Solving 3n2 = -25 + -20n Solving for variable 'n'. Reorder the terms: 25 + 20n + 3n2 = -25 + -20n + 25 + 20n Reorder the terms: 25 + 20n + 3n2 = -25 + 25 + -20n + 20n Combine like terms: -25 + 25 = 0 25 + 20n + 3n2 = 0 + -20n + 20n 25 + 20n + 3n2 = -20n + 20n Combine like terms: -20n + 20n = 0 25 + 20n + 3n2 = 0 Factor a trinomial. (5 + n)(5 + 3n) = 0Subproblem 1
Set the factor '(5 + n)' equal to zero and attempt to solve: Simplifying 5 + n = 0 Solving 5 + n = 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 + n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + n = 0 + -5 n = 0 + -5 Combine like terms: 0 + -5 = -5 n = -5 Simplifying n = -5Subproblem 2
Set the factor '(5 + 3n)' equal to zero and attempt to solve: Simplifying 5 + 3n = 0 Solving 5 + 3n = 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 + 3n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3n = 0 + -5 3n = 0 + -5 Combine like terms: 0 + -5 = -5 3n = -5 Divide each side by '3'. n = -1.666666667 Simplifying n = -1.666666667Solution
n = {-5, -1.666666667}
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