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Simplifying 6n2 + 4n + 4 = 5n2 + -1n Reorder the terms: 4 + 4n + 6n2 = 5n2 + -1n Reorder the terms: 4 + 4n + 6n2 = -1n + 5n2 Solving 4 + 4n + 6n2 = -1n + 5n2 Solving for variable 'n'. Reorder the terms: 4 + 4n + n + 6n2 + -5n2 = -1n + 5n2 + n + -5n2 Combine like terms: 4n + n = 5n 4 + 5n + 6n2 + -5n2 = -1n + 5n2 + n + -5n2 Combine like terms: 6n2 + -5n2 = 1n2 4 + 5n + 1n2 = -1n + 5n2 + n + -5n2 Reorder the terms: 4 + 5n + 1n2 = -1n + n + 5n2 + -5n2 Combine like terms: -1n + n = 0 4 + 5n + 1n2 = 0 + 5n2 + -5n2 4 + 5n + 1n2 = 5n2 + -5n2 Combine like terms: 5n2 + -5n2 = 0 4 + 5n + 1n2 = 0 Factor a trinomial. (4 + n)(1 + n) = 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 '(1 + n)' equal to zero and attempt to solve: Simplifying 1 + n = 0 Solving 1 + n = 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 + n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + n = 0 + -1 n = 0 + -1 Combine like terms: 0 + -1 = -1 n = -1 Simplifying n = -1Solution
n = {-4, -1}
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