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Simplifying 4n2 + -1n + 1 = 0 Reorder the terms: 1 + -1n + 4n2 = 0 Solving 1 + -1n + 4n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.25 + -0.25n + n2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + -0.25n + -0.25 + n2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + -0.25n + n2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -0.25n + n2 = 0 + -0.25 -0.25n + n2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 -0.25n + n2 = -0.25 The n term is -0.25n. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25n + 0.015625 + n2 = -0.25 + 0.015625 Reorder the terms: 0.015625 + -0.25n + n2 = -0.25 + 0.015625 Combine like terms: -0.25 + 0.015625 = -0.234375 0.015625 + -0.25n + n2 = -0.234375 Factor a perfect square on the left side: (n + -0.125)(n + -0.125) = -0.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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