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Simplifying 16n2 + -5n + 4 = 0 Reorder the terms: 4 + -5n + 16n2 = 0 Solving 4 + -5n + 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'. 0.25 + -0.3125n + n2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + -0.3125n + -0.25 + n2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + -0.3125n + n2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -0.3125n + n2 = 0 + -0.25 -0.3125n + n2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 -0.3125n + n2 = -0.25 The n term is -0.3125n. Take half its coefficient (-0.15625). Square it (0.0244140625) and add it to both sides. Add '0.0244140625' to each side of the equation. -0.3125n + 0.0244140625 + n2 = -0.25 + 0.0244140625 Reorder the terms: 0.0244140625 + -0.3125n + n2 = -0.25 + 0.0244140625 Combine like terms: -0.25 + 0.0244140625 = -0.2255859375 0.0244140625 + -0.3125n + n2 = -0.2255859375 Factor a perfect square on the left side: (n + -0.15625)(n + -0.15625) = -0.2255859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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