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Simplifying 12n2 + 4n = -3 Reorder the terms: 4n + 12n2 = -3 Solving 4n + 12n2 = -3 Solving for variable 'n'. Reorder the terms: 3 + 4n + 12n2 = -3 + 3 Combine like terms: -3 + 3 = 0 3 + 4n + 12n2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.25 + 0.3333333333n + n2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + 0.3333333333n + -0.25 + n2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + 0.3333333333n + n2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.3333333333n + n2 = 0 + -0.25 0.3333333333n + n2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 0.3333333333n + n2 = -0.25 The n term is 0.3333333333n. Take half its coefficient (0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. 0.3333333333n + 0.02777777779 + n2 = -0.25 + 0.02777777779 Reorder the terms: 0.02777777779 + 0.3333333333n + n2 = -0.25 + 0.02777777779 Combine like terms: -0.25 + 0.02777777779 = -0.22222222221 0.02777777779 + 0.3333333333n + n2 = -0.22222222221 Factor a perfect square on the left side: (n + 0.1666666667)(n + 0.1666666667) = -0.22222222221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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