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Simplifying 9n2 + 2n + 37 = 0 Reorder the terms: 37 + 2n + 9n2 = 0 Solving 37 + 2n + 9n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 4.111111111 + 0.2222222222n + n2 = 0 Move the constant term to the right: Add '-4.111111111' to each side of the equation. 4.111111111 + 0.2222222222n + -4.111111111 + n2 = 0 + -4.111111111 Reorder the terms: 4.111111111 + -4.111111111 + 0.2222222222n + n2 = 0 + -4.111111111 Combine like terms: 4.111111111 + -4.111111111 = 0.000000000 0.000000000 + 0.2222222222n + n2 = 0 + -4.111111111 0.2222222222n + n2 = 0 + -4.111111111 Combine like terms: 0 + -4.111111111 = -4.111111111 0.2222222222n + n2 = -4.111111111 The n term is 0.2222222222n. Take half its coefficient (0.1111111111). Square it (0.01234567901) and add it to both sides. Add '0.01234567901' to each side of the equation. 0.2222222222n + 0.01234567901 + n2 = -4.111111111 + 0.01234567901 Reorder the terms: 0.01234567901 + 0.2222222222n + n2 = -4.111111111 + 0.01234567901 Combine like terms: -4.111111111 + 0.01234567901 = -4.09876543199 0.01234567901 + 0.2222222222n + n2 = -4.09876543199 Factor a perfect square on the left side: (n + 0.1111111111)(n + 0.1111111111) = -4.09876543199 Can't calculate square root of the right side. The solution to this equation could not be determined.
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