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Simplifying 7n2 + 23n + 18 = 0 Reorder the terms: 18 + 23n + 7n2 = 0 Solving 18 + 23n + 7n2 = 0 Solving for variable 'n'. Factor a trinomial. (2 + n)(9 + 7n) = 0Subproblem 1
Set the factor '(2 + n)' equal to zero and attempt to solve: Simplifying 2 + n = 0 Solving 2 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + n = 0 + -2 n = 0 + -2 Combine like terms: 0 + -2 = -2 n = -2 Simplifying n = -2Subproblem 2
Set the factor '(9 + 7n)' equal to zero and attempt to solve: Simplifying 9 + 7n = 0 Solving 9 + 7n = 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 + 7n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7n = 0 + -9 7n = 0 + -9 Combine like terms: 0 + -9 = -9 7n = -9 Divide each side by '7'. n = -1.285714286 Simplifying n = -1.285714286Solution
n = {-2, -1.285714286}
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