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Simplifying n2 + 4n = 396 Reorder the terms: 4n + n2 = 396 Solving 4n + n2 = 396 Solving for variable 'n'. Reorder the terms: -396 + 4n + n2 = 396 + -396 Combine like terms: 396 + -396 = 0 -396 + 4n + n2 = 0 Factor a trinomial. (-22 + -1n)(18 + -1n) = 0Subproblem 1
Set the factor '(-22 + -1n)' equal to zero and attempt to solve: Simplifying -22 + -1n = 0 Solving -22 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -1n = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -1n = 0 + 22 -1n = 0 + 22 Combine like terms: 0 + 22 = 22 -1n = 22 Divide each side by '-1'. n = -22 Simplifying n = -22Subproblem 2
Set the factor '(18 + -1n)' equal to zero and attempt to solve: Simplifying 18 + -1n = 0 Solving 18 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1n = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1n = 0 + -18 -1n = 0 + -18 Combine like terms: 0 + -18 = -18 -1n = -18 Divide each side by '-1'. n = 18 Simplifying n = 18Solution
n = {-22, 18}
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