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Simplifying 208 = (n + -3) * n Reorder the terms: 208 = (-3 + n) * n Reorder the terms for easier multiplication: 208 = n(-3 + n) 208 = (-3 * n + n * n) 208 = (-3n + n2) Solving 208 = -3n + n2 Solving for variable 'n'. Reorder the terms: 208 + 3n + -1n2 = -3n + 3n + n2 + -1n2 Combine like terms: -3n + 3n = 0 208 + 3n + -1n2 = 0 + n2 + -1n2 208 + 3n + -1n2 = n2 + -1n2 Combine like terms: n2 + -1n2 = 0 208 + 3n + -1n2 = 0 Factor a trinomial. (16 + -1n)(13 + n) = 0Subproblem 1
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 = 16Subproblem 2
Set the factor '(13 + n)' equal to zero and attempt to solve: Simplifying 13 + n = 0 Solving 13 + n = 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 + n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + n = 0 + -13 n = 0 + -13 Combine like terms: 0 + -13 = -13 n = -13 Simplifying n = -13Solution
n = {16, -13}
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