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Simplifying 7n2 + 30n + 8 = 0 Reorder the terms: 8 + 30n + 7n2 = 0 Solving 8 + 30n + 7n2 = 0 Solving for variable 'n'. Factor a trinomial. (4 + n)(2 + 7n) = 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 '(2 + 7n)' equal to zero and attempt to solve: Simplifying 2 + 7n = 0 Solving 2 + 7n = 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 + 7n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7n = 0 + -2 7n = 0 + -2 Combine like terms: 0 + -2 = -2 7n = -2 Divide each side by '7'. n = -0.2857142857 Simplifying n = -0.2857142857Solution
n = {-4, -0.2857142857}
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