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Simplifying 3n2 + 4n + 12 = 0 Reorder the terms: 12 + 4n + 3n2 = 0 Solving 12 + 4n + 3n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 4 + 1.333333333n + n2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + 1.333333333n + -4 + n2 = 0 + -4 Reorder the terms: 4 + -4 + 1.333333333n + n2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 1.333333333n + n2 = 0 + -4 1.333333333n + n2 = 0 + -4 Combine like terms: 0 + -4 = -4 1.333333333n + n2 = -4 The n term is 1.333333333n. Take half its coefficient (0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. 1.333333333n + 0.4444444442 + n2 = -4 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333n + n2 = -4 + 0.4444444442 Combine like terms: -4 + 0.4444444442 = -3.5555555558 0.4444444442 + 1.333333333n + n2 = -3.5555555558 Factor a perfect square on the left side: (n + 0.6666666665)(n + 0.6666666665) = -3.5555555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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