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Simplifying 9n2 + 6 = 7n Reorder the terms: 6 + 9n2 = 7n Solving 6 + 9n2 = 7n Solving for variable 'n'. Reorder the terms: 6 + -7n + 9n2 = 7n + -7n Combine like terms: 7n + -7n = 0 6 + -7n + 9n2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.6666666667 + -0.7777777778n + n2 = 0 Move the constant term to the right: Add '-0.6666666667' to each side of the equation. 0.6666666667 + -0.7777777778n + -0.6666666667 + n2 = 0 + -0.6666666667 Reorder the terms: 0.6666666667 + -0.6666666667 + -0.7777777778n + n2 = 0 + -0.6666666667 Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000 0.0000000000 + -0.7777777778n + n2 = 0 + -0.6666666667 -0.7777777778n + n2 = 0 + -0.6666666667 Combine like terms: 0 + -0.6666666667 = -0.6666666667 -0.7777777778n + n2 = -0.6666666667 The n term is -0.7777777778n. Take half its coefficient (-0.3888888889). Square it (0.1512345679) and add it to both sides. Add '0.1512345679' to each side of the equation. -0.7777777778n + 0.1512345679 + n2 = -0.6666666667 + 0.1512345679 Reorder the terms: 0.1512345679 + -0.7777777778n + n2 = -0.6666666667 + 0.1512345679 Combine like terms: -0.6666666667 + 0.1512345679 = -0.5154320988 0.1512345679 + -0.7777777778n + n2 = -0.5154320988 Factor a perfect square on the left side: (n + -0.3888888889)(n + -0.3888888889) = -0.5154320988 Can't calculate square root of the right side. The solution to this equation could not be determined.
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