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Simplifying 7n2 + -9n = -11 Reorder the terms: -9n + 7n2 = -11 Solving -9n + 7n2 = -11 Solving for variable 'n'. Reorder the terms: 11 + -9n + 7n2 = -11 + 11 Combine like terms: -11 + 11 = 0 11 + -9n + 7n2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.571428571 + -1.285714286n + n2 = 0 Move the constant term to the right: Add '-1.571428571' to each side of the equation. 1.571428571 + -1.285714286n + -1.571428571 + n2 = 0 + -1.571428571 Reorder the terms: 1.571428571 + -1.571428571 + -1.285714286n + n2 = 0 + -1.571428571 Combine like terms: 1.571428571 + -1.571428571 = 0.000000000 0.000000000 + -1.285714286n + n2 = 0 + -1.571428571 -1.285714286n + n2 = 0 + -1.571428571 Combine like terms: 0 + -1.571428571 = -1.571428571 -1.285714286n + n2 = -1.571428571 The n term is -1.285714286n. Take half its coefficient (-0.642857143). Square it (0.4132653063) and add it to both sides. Add '0.4132653063' to each side of the equation. -1.285714286n + 0.4132653063 + n2 = -1.571428571 + 0.4132653063 Reorder the terms: 0.4132653063 + -1.285714286n + n2 = -1.571428571 + 0.4132653063 Combine like terms: -1.571428571 + 0.4132653063 = -1.1581632647 0.4132653063 + -1.285714286n + n2 = -1.1581632647 Factor a perfect square on the left side: (n + -0.642857143)(n + -0.642857143) = -1.1581632647 Can't calculate square root of the right side. The solution to this equation could not be determined.
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