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Simplifying 4n2 + 7n + 10 = 0 Reorder the terms: 10 + 7n + 4n2 = 0 Solving 10 + 7n + 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'. 2.5 + 1.75n + n2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + 1.75n + -2.5 + n2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + 1.75n + n2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 1.75n + n2 = 0 + -2.5 1.75n + n2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 1.75n + n2 = -2.5 The n term is 1.75n. Take half its coefficient (0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. 1.75n + 0.765625 + n2 = -2.5 + 0.765625 Reorder the terms: 0.765625 + 1.75n + n2 = -2.5 + 0.765625 Combine like terms: -2.5 + 0.765625 = -1.734375 0.765625 + 1.75n + n2 = -1.734375 Factor a perfect square on the left side: (n + 0.875)(n + 0.875) = -1.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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