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Simplifying 3x2 + 55x + 352 = 0 Reorder the terms: 352 + 55x + 3x2 = 0 Solving 352 + 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'. 117.3333333 + 18.33333333x + x2 = 0 Move the constant term to the right: Add '-117.3333333' to each side of the equation. 117.3333333 + 18.33333333x + -117.3333333 + x2 = 0 + -117.3333333 Reorder the terms: 117.3333333 + -117.3333333 + 18.33333333x + x2 = 0 + -117.3333333 Combine like terms: 117.3333333 + -117.3333333 = 0.0000000 0.0000000 + 18.33333333x + x2 = 0 + -117.3333333 18.33333333x + x2 = 0 + -117.3333333 Combine like terms: 0 + -117.3333333 = -117.3333333 18.33333333x + x2 = -117.3333333 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 = -117.3333333 + 84.02777775 Reorder the terms: 84.02777775 + 18.33333333x + x2 = -117.3333333 + 84.02777775 Combine like terms: -117.3333333 + 84.02777775 = -33.30555555 84.02777775 + 18.33333333x + x2 = -33.30555555 Factor a perfect square on the left side: (x + 9.166666665)(x + 9.166666665) = -33.30555555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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