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Simplifying 9n2 + -6n + 20 = 0 Reorder the terms: 20 + -6n + 9n2 = 0 Solving 20 + -6n + 9n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 2.222222222 + -0.6666666667n + n2 = 0 Move the constant term to the right: Add '-2.222222222' to each side of the equation. 2.222222222 + -0.6666666667n + -2.222222222 + n2 = 0 + -2.222222222 Reorder the terms: 2.222222222 + -2.222222222 + -0.6666666667n + n2 = 0 + -2.222222222 Combine like terms: 2.222222222 + -2.222222222 = 0.000000000 0.000000000 + -0.6666666667n + n2 = 0 + -2.222222222 -0.6666666667n + n2 = 0 + -2.222222222 Combine like terms: 0 + -2.222222222 = -2.222222222 -0.6666666667n + n2 = -2.222222222 The n term is -0.6666666667n. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667n + 0.1111111112 + n2 = -2.222222222 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667n + n2 = -2.222222222 + 0.1111111112 Combine like terms: -2.222222222 + 0.1111111112 = -2.1111111108 0.1111111112 + -0.6666666667n + n2 = -2.1111111108 Factor a perfect square on the left side: (n + -0.3333333334)(n + -0.3333333334) = -2.1111111108 Can't calculate square root of the right side. The solution to this equation could not be determined.
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