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Simplifying 6n2 + 36n + 5 = -1n2 Reorder the terms: 5 + 36n + 6n2 = -1n2 Solving 5 + 36n + 6n2 = -1n2 Solving for variable 'n'. Combine like terms: 6n2 + n2 = 7n2 5 + 36n + 7n2 = -1n2 + n2 Combine like terms: -1n2 + n2 = 0 5 + 36n + 7n2 = 0 Factor a trinomial. (5 + n)(1 + 7n) = 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 '(1 + 7n)' equal to zero and attempt to solve: Simplifying 1 + 7n = 0 Solving 1 + 7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7n = 0 + -1 7n = 0 + -1 Combine like terms: 0 + -1 = -1 7n = -1 Divide each side by '7'. n = -0.1428571429 Simplifying n = -0.1428571429Solution
n = {-5, -0.1428571429}
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