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Simplifying 16n2 + 69n + 80 = 0 Reorder the terms: 80 + 69n + 16n2 = 0 Solving 80 + 69n + 16n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 5 + 4.3125n + n2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + 4.3125n + -5 + n2 = 0 + -5 Reorder the terms: 5 + -5 + 4.3125n + n2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4.3125n + n2 = 0 + -5 4.3125n + n2 = 0 + -5 Combine like terms: 0 + -5 = -5 4.3125n + n2 = -5 The n term is 4.3125n. Take half its coefficient (2.15625). Square it (4.649414063) and add it to both sides. Add '4.649414063' to each side of the equation. 4.3125n + 4.649414063 + n2 = -5 + 4.649414063 Reorder the terms: 4.649414063 + 4.3125n + n2 = -5 + 4.649414063 Combine like terms: -5 + 4.649414063 = -0.350585937 4.649414063 + 4.3125n + n2 = -0.350585937 Factor a perfect square on the left side: (n + 2.15625)(n + 2.15625) = -0.350585937 Can't calculate square root of the right side. The solution to this equation could not be determined.
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