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Simplifying 3n = n2 + 2 Reorder the terms: 3n = 2 + n2 Solving 3n = 2 + n2 Solving for variable 'n'. Reorder the terms: -2 + 3n + -1n2 = 2 + n2 + -2 + -1n2 Reorder the terms: -2 + 3n + -1n2 = 2 + -2 + n2 + -1n2 Combine like terms: 2 + -2 = 0 -2 + 3n + -1n2 = 0 + n2 + -1n2 -2 + 3n + -1n2 = n2 + -1n2 Combine like terms: n2 + -1n2 = 0 -2 + 3n + -1n2 = 0 Factor a trinomial. (-2 + n)(1 + -1n) = 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 '(1 + -1n)' equal to zero and attempt to solve: Simplifying 1 + -1n = 0 Solving 1 + -1n = 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 + -1n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 0 + -1 -1n = 0 + -1 Combine like terms: 0 + -1 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1Solution
n = {2, 1}
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