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Simplifying 11n2 + 12n = -7 Reorder the terms: 12n + 11n2 = -7 Solving 12n + 11n2 = -7 Solving for variable 'n'. Reorder the terms: 7 + 12n + 11n2 = -7 + 7 Combine like terms: -7 + 7 = 0 7 + 12n + 11n2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.6363636364 + 1.090909091n + n2 = 0 Move the constant term to the right: Add '-0.6363636364' to each side of the equation. 0.6363636364 + 1.090909091n + -0.6363636364 + n2 = 0 + -0.6363636364 Reorder the terms: 0.6363636364 + -0.6363636364 + 1.090909091n + n2 = 0 + -0.6363636364 Combine like terms: 0.6363636364 + -0.6363636364 = 0.0000000000 0.0000000000 + 1.090909091n + n2 = 0 + -0.6363636364 1.090909091n + n2 = 0 + -0.6363636364 Combine like terms: 0 + -0.6363636364 = -0.6363636364 1.090909091n + n2 = -0.6363636364 The n term is 1.090909091n. Take half its coefficient (0.5454545455). Square it (0.2975206612) and add it to both sides. Add '0.2975206612' to each side of the equation. 1.090909091n + 0.2975206612 + n2 = -0.6363636364 + 0.2975206612 Reorder the terms: 0.2975206612 + 1.090909091n + n2 = -0.6363636364 + 0.2975206612 Combine like terms: -0.6363636364 + 0.2975206612 = -0.3388429752 0.2975206612 + 1.090909091n + n2 = -0.3388429752 Factor a perfect square on the left side: (n + 0.5454545455)(n + 0.5454545455) = -0.3388429752 Can't calculate square root of the right side. The solution to this equation could not be determined.
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