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Simplifying 5n2 = -8 + -41n Solving 5n2 = -8 + -41n Solving for variable 'n'. Reorder the terms: 8 + 41n + 5n2 = -8 + -41n + 8 + 41n Reorder the terms: 8 + 41n + 5n2 = -8 + 8 + -41n + 41n Combine like terms: -8 + 8 = 0 8 + 41n + 5n2 = 0 + -41n + 41n 8 + 41n + 5n2 = -41n + 41n Combine like terms: -41n + 41n = 0 8 + 41n + 5n2 = 0 Factor a trinomial. (8 + n)(1 + 5n) = 0Subproblem 1
Set the factor '(8 + n)' equal to zero and attempt to solve: Simplifying 8 + n = 0 Solving 8 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + n = 0 + -8 n = 0 + -8 Combine like terms: 0 + -8 = -8 n = -8 Simplifying n = -8Subproblem 2
Set the factor '(1 + 5n)' equal to zero and attempt to solve: Simplifying 1 + 5n = 0 Solving 1 + 5n = 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 + 5n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5n = 0 + -1 5n = 0 + -1 Combine like terms: 0 + -1 = -1 5n = -1 Divide each side by '5'. n = -0.2 Simplifying n = -0.2Solution
n = {-8, -0.2}
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