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Simplifying 4n2 + -2n + -2 = -7 Reorder the terms: -2 + -2n + 4n2 = -7 Solving -2 + -2n + 4n2 = -7 Solving for variable 'n'. Reorder the terms: -2 + 7 + -2n + 4n2 = -7 + 7 Combine like terms: -2 + 7 = 5 5 + -2n + 4n2 = -7 + 7 Combine like terms: -7 + 7 = 0 5 + -2n + 4n2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.25 + -0.5n + n2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + -0.5n + -1.25 + n2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + -0.5n + n2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -0.5n + n2 = 0 + -1.25 -0.5n + n2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 -0.5n + n2 = -1.25 The n term is -0.5n. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5n + 0.0625 + n2 = -1.25 + 0.0625 Reorder the terms: 0.0625 + -0.5n + n2 = -1.25 + 0.0625 Combine like terms: -1.25 + 0.0625 = -1.1875 0.0625 + -0.5n + n2 = -1.1875 Factor a perfect square on the left side: (n + -0.25)(n + -0.25) = -1.1875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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