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Simplifying 96 = n2 + 4n Reorder the terms: 96 = 4n + n2 Solving 96 = 4n + n2 Solving for variable 'n'. Reorder the terms: 96 + -4n + -1n2 = 4n + -4n + n2 + -1n2 Combine like terms: 4n + -4n = 0 96 + -4n + -1n2 = 0 + n2 + -1n2 96 + -4n + -1n2 = n2 + -1n2 Combine like terms: n2 + -1n2 = 0 96 + -4n + -1n2 = 0 Factor a trinomial. (8 + -1n)(12 + n) = 0Subproblem 1
Set the factor '(8 + -1n)' equal to zero and attempt to solve: Simplifying 8 + -1n = 0 Solving 8 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = 0 + -8 -1n = 0 + -8 Combine like terms: 0 + -8 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8Subproblem 2
Set the factor '(12 + n)' equal to zero and attempt to solve: Simplifying 12 + n = 0 Solving 12 + n = 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 + n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + n = 0 + -12 n = 0 + -12 Combine like terms: 0 + -12 = -12 n = -12 Simplifying n = -12Solution
n = {8, -12}
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