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Simplifying 7n2 + 6n + 12 = 0 Reorder the terms: 12 + 6n + 7n2 = 0 Solving 12 + 6n + 7n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.714285714 + 0.8571428571n + n2 = 0 Move the constant term to the right: Add '-1.714285714' to each side of the equation. 1.714285714 + 0.8571428571n + -1.714285714 + n2 = 0 + -1.714285714 Reorder the terms: 1.714285714 + -1.714285714 + 0.8571428571n + n2 = 0 + -1.714285714 Combine like terms: 1.714285714 + -1.714285714 = 0.000000000 0.000000000 + 0.8571428571n + n2 = 0 + -1.714285714 0.8571428571n + n2 = 0 + -1.714285714 Combine like terms: 0 + -1.714285714 = -1.714285714 0.8571428571n + n2 = -1.714285714 The n term is 0.8571428571n. Take half its coefficient (0.4285714286). Square it (0.1836734694) and add it to both sides. Add '0.1836734694' to each side of the equation. 0.8571428571n + 0.1836734694 + n2 = -1.714285714 + 0.1836734694 Reorder the terms: 0.1836734694 + 0.8571428571n + n2 = -1.714285714 + 0.1836734694 Combine like terms: -1.714285714 + 0.1836734694 = -1.5306122446 0.1836734694 + 0.8571428571n + n2 = -1.5306122446 Factor a perfect square on the left side: (n + 0.4285714286)(n + 0.4285714286) = -1.5306122446 Can't calculate square root of the right side. The solution to this equation could not be determined.
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