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Simplifying n2 + -28n + 192 = 0 Reorder the terms: 192 + -28n + n2 = 0 Solving 192 + -28n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (12 + -1n)(16 + -1n) = 0Subproblem 1
Set the factor '(12 + -1n)' equal to zero and attempt to solve: Simplifying 12 + -1n = 0 Solving 12 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1n = 0 + -12 -1n = 0 + -12 Combine like terms: 0 + -12 = -12 -1n = -12 Divide each side by '-1'. n = 12 Simplifying n = 12Subproblem 2
Set the factor '(16 + -1n)' equal to zero and attempt to solve: Simplifying 16 + -1n = 0 Solving 16 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1n = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1n = 0 + -16 -1n = 0 + -16 Combine like terms: 0 + -16 = -16 -1n = -16 Divide each side by '-1'. n = 16 Simplifying n = 16Solution
n = {12, 16}
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