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Simplifying 6y2 + 11y + 195 = 0 Reorder the terms: 195 + 11y + 6y2 = 0 Solving 195 + 11y + 6y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 32.5 + 1.833333333y + y2 = 0 Move the constant term to the right: Add '-32.5' to each side of the equation. 32.5 + 1.833333333y + -32.5 + y2 = 0 + -32.5 Reorder the terms: 32.5 + -32.5 + 1.833333333y + y2 = 0 + -32.5 Combine like terms: 32.5 + -32.5 = 0.0 0.0 + 1.833333333y + y2 = 0 + -32.5 1.833333333y + y2 = 0 + -32.5 Combine like terms: 0 + -32.5 = -32.5 1.833333333y + y2 = -32.5 The y term is 1.833333333y. Take half its coefficient (0.9166666665). Square it (0.8402777775) and add it to both sides. Add '0.8402777775' to each side of the equation. 1.833333333y + 0.8402777775 + y2 = -32.5 + 0.8402777775 Reorder the terms: 0.8402777775 + 1.833333333y + y2 = -32.5 + 0.8402777775 Combine like terms: -32.5 + 0.8402777775 = -31.6597222225 0.8402777775 + 1.833333333y + y2 = -31.6597222225 Factor a perfect square on the left side: (y + 0.9166666665)(y + 0.9166666665) = -31.6597222225 Can't calculate square root of the right side. The solution to this equation could not be determined.
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