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Simplifying (9n2 + n + 1) + -7n2 = 0 Reorder the terms: (1 + n + 9n2) + -7n2 = 0 Remove parenthesis around (1 + n + 9n2) 1 + n + 9n2 + -7n2 = 0 Combine like terms: 9n2 + -7n2 = 2n2 1 + n + 2n2 = 0 Solving 1 + n + 2n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 0.5 + 0.5n + n2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + 0.5n + -0.5 + n2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + 0.5n + n2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.5n + n2 = 0 + -0.5 0.5n + n2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 0.5n + n2 = -0.5 The n term is n. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.5n + 0.25 + n2 = -0.5 + 0.25 Reorder the terms: 0.25 + 0.5n + n2 = -0.5 + 0.25 Combine like terms: -0.5 + 0.25 = -0.25 0.25 + 0.5n + n2 = -0.25 Factor a perfect square on the left side: (n + 0.5)(n + 0.5) = -0.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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