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Simplifying 12n2 + 7 = 7n Reorder the terms: 7 + 12n2 = 7n Solving 7 + 12n2 = 7n Solving for variable 'n'. Reorder the terms: 7 + -7n + 12n2 = 7n + -7n Combine like terms: 7n + -7n = 0 7 + -7n + 12n2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.5833333333 + -0.5833333333n + n2 = 0 Move the constant term to the right: Add '-0.5833333333' to each side of the equation. 0.5833333333 + -0.5833333333n + -0.5833333333 + n2 = 0 + -0.5833333333 Reorder the terms: 0.5833333333 + -0.5833333333 + -0.5833333333n + n2 = 0 + -0.5833333333 Combine like terms: 0.5833333333 + -0.5833333333 = 0.0000000000 0.0000000000 + -0.5833333333n + n2 = 0 + -0.5833333333 -0.5833333333n + n2 = 0 + -0.5833333333 Combine like terms: 0 + -0.5833333333 = -0.5833333333 -0.5833333333n + n2 = -0.5833333333 The n term is -0.5833333333n. Take half its coefficient (-0.2916666667). Square it (0.08506944446) and add it to both sides. Add '0.08506944446' to each side of the equation. -0.5833333333n + 0.08506944446 + n2 = -0.5833333333 + 0.08506944446 Reorder the terms: 0.08506944446 + -0.5833333333n + n2 = -0.5833333333 + 0.08506944446 Combine like terms: -0.5833333333 + 0.08506944446 = -0.49826388884 0.08506944446 + -0.5833333333n + n2 = -0.49826388884 Factor a perfect square on the left side: (n + -0.2916666667)(n + -0.2916666667) = -0.49826388884 Can't calculate square root of the right side. The solution to this equation could not be determined.
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