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Simplifying 4n2 + 11 = 7n Reorder the terms: 11 + 4n2 = 7n Solving 11 + 4n2 = 7n Solving for variable 'n'. Reorder the terms: 11 + -7n + 4n2 = 7n + -7n Combine like terms: 7n + -7n = 0 11 + -7n + 4n2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.75 + -1.75n + n2 = 0 Move the constant term to the right: Add '-2.75' to each side of the equation. 2.75 + -1.75n + -2.75 + n2 = 0 + -2.75 Reorder the terms: 2.75 + -2.75 + -1.75n + n2 = 0 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + -1.75n + n2 = 0 + -2.75 -1.75n + n2 = 0 + -2.75 Combine like terms: 0 + -2.75 = -2.75 -1.75n + n2 = -2.75 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 = -2.75 + 0.765625 Reorder the terms: 0.765625 + -1.75n + n2 = -2.75 + 0.765625 Combine like terms: -2.75 + 0.765625 = -1.984375 0.765625 + -1.75n + n2 = -1.984375 Factor a perfect square on the left side: (n + -0.875)(n + -0.875) = -1.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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