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Simplifying 13n2 + 2 = 2n Reorder the terms: 2 + 13n2 = 2n Solving 2 + 13n2 = 2n Solving for variable 'n'. Reorder the terms: 2 + -2n + 13n2 = 2n + -2n Combine like terms: 2n + -2n = 0 2 + -2n + 13n2 = 0 Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 0.1538461538 + -0.1538461538n + n2 = 0 Move the constant term to the right: Add '-0.1538461538' to each side of the equation. 0.1538461538 + -0.1538461538n + -0.1538461538 + n2 = 0 + -0.1538461538 Reorder the terms: 0.1538461538 + -0.1538461538 + -0.1538461538n + n2 = 0 + -0.1538461538 Combine like terms: 0.1538461538 + -0.1538461538 = 0.0000000000 0.0000000000 + -0.1538461538n + n2 = 0 + -0.1538461538 -0.1538461538n + n2 = 0 + -0.1538461538 Combine like terms: 0 + -0.1538461538 = -0.1538461538 -0.1538461538n + n2 = -0.1538461538 The n term is -0.1538461538n. Take half its coefficient (-0.0769230769). Square it (0.005917159760) and add it to both sides. Add '0.005917159760' to each side of the equation. -0.1538461538n + 0.005917159760 + n2 = -0.1538461538 + 0.005917159760 Reorder the terms: 0.005917159760 + -0.1538461538n + n2 = -0.1538461538 + 0.005917159760 Combine like terms: -0.1538461538 + 0.005917159760 = -0.14792899404 0.005917159760 + -0.1538461538n + n2 = -0.14792899404 Factor a perfect square on the left side: (n + -0.0769230769)(n + -0.0769230769) = -0.14792899404 Can't calculate square root of the right side. The solution to this equation could not be determined.
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