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Simplifying 3X2 + 55X + 872 = 0 Reorder the terms: 872 + 55X + 3X2 = 0 Solving 872 + 55X + 3X2 = 0 Solving for variable 'X'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 290.6666667 + 18.33333333X + X2 = 0 Move the constant term to the right: Add '-290.6666667' to each side of the equation. 290.6666667 + 18.33333333X + -290.6666667 + X2 = 0 + -290.6666667 Reorder the terms: 290.6666667 + -290.6666667 + 18.33333333X + X2 = 0 + -290.6666667 Combine like terms: 290.6666667 + -290.6666667 = 0.0000000 0.0000000 + 18.33333333X + X2 = 0 + -290.6666667 18.33333333X + X2 = 0 + -290.6666667 Combine like terms: 0 + -290.6666667 = -290.6666667 18.33333333X + X2 = -290.6666667 The X term is 18.33333333X. Take half its coefficient (9.166666665). Square it (84.02777775) and add it to both sides. Add '84.02777775' to each side of the equation. 18.33333333X + 84.02777775 + X2 = -290.6666667 + 84.02777775 Reorder the terms: 84.02777775 + 18.33333333X + X2 = -290.6666667 + 84.02777775 Combine like terms: -290.6666667 + 84.02777775 = -206.63888895 84.02777775 + 18.33333333X + X2 = -206.63888895 Factor a perfect square on the left side: (X + 9.166666665)(X + 9.166666665) = -206.63888895 Can't calculate square root of the right side. The solution to this equation could not be determined.
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