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Simplifying 8n2 + 8 + 3n = 0 Reorder the terms: 8 + 3n + 8n2 = 0 Solving 8 + 3n + 8n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1 + 0.375n + n2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.375n + -1 + n2 = 0 + -1 Reorder the terms: 1 + -1 + 0.375n + n2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.375n + n2 = 0 + -1 0.375n + n2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.375n + n2 = -1 The n term is 0.375n. Take half its coefficient (0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. 0.375n + 0.03515625 + n2 = -1 + 0.03515625 Reorder the terms: 0.03515625 + 0.375n + n2 = -1 + 0.03515625 Combine like terms: -1 + 0.03515625 = -0.96484375 0.03515625 + 0.375n + n2 = -0.96484375 Factor a perfect square on the left side: (n + 0.1875)(n + 0.1875) = -0.96484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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