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Simplifying 156 = n2 + -1n Reorder the terms: 156 = -1n + n2 Solving 156 = -1n + n2 Solving for variable 'n'. Reorder the terms: 156 + n + -1n2 = -1n + n + n2 + -1n2 Combine like terms: -1n + n = 0 156 + n + -1n2 = 0 + n2 + -1n2 156 + n + -1n2 = n2 + -1n2 Combine like terms: n2 + -1n2 = 0 156 + n + -1n2 = 0 Factor a trinomial. (13 + -1n)(12 + n) = 0Subproblem 1
Set the factor '(13 + -1n)' equal to zero and attempt to solve: Simplifying 13 + -1n = 0 Solving 13 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1n = 0 + -13 -1n = 0 + -13 Combine like terms: 0 + -13 = -13 -1n = -13 Divide each side by '-1'. n = 13 Simplifying n = 13Subproblem 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 = {13, -12}
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