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Simplifying 7n2 + 6n + 48 = 0 Reorder the terms: 48 + 6n + 7n2 = 0 Solving 48 + 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'. 6.857142857 + 0.8571428571n + n2 = 0 Move the constant term to the right: Add '-6.857142857' to each side of the equation. 6.857142857 + 0.8571428571n + -6.857142857 + n2 = 0 + -6.857142857 Reorder the terms: 6.857142857 + -6.857142857 + 0.8571428571n + n2 = 0 + -6.857142857 Combine like terms: 6.857142857 + -6.857142857 = 0.000000000 0.000000000 + 0.8571428571n + n2 = 0 + -6.857142857 0.8571428571n + n2 = 0 + -6.857142857 Combine like terms: 0 + -6.857142857 = -6.857142857 0.8571428571n + n2 = -6.857142857 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 = -6.857142857 + 0.1836734694 Reorder the terms: 0.1836734694 + 0.8571428571n + n2 = -6.857142857 + 0.1836734694 Combine like terms: -6.857142857 + 0.1836734694 = -6.6734693876 0.1836734694 + 0.8571428571n + n2 = -6.6734693876 Factor a perfect square on the left side: (n + 0.4285714286)(n + 0.4285714286) = -6.6734693876 Can't calculate square root of the right side. The solution to this equation could not be determined.
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