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Simplifying n2 + -46n + 88 = 0 Reorder the terms: 88 + -46n + n2 = 0 Solving 88 + -46n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (2 + -1n)(44 + -1n) = 0Subproblem 1
Set the factor '(2 + -1n)' equal to zero and attempt to solve: Simplifying 2 + -1n = 0 Solving 2 + -1n = 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 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2Subproblem 2
Set the factor '(44 + -1n)' equal to zero and attempt to solve: Simplifying 44 + -1n = 0 Solving 44 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -1n = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -1n = 0 + -44 -1n = 0 + -44 Combine like terms: 0 + -44 = -44 -1n = -44 Divide each side by '-1'. n = 44 Simplifying n = 44Solution
n = {2, 44}
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