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Simplifying 18y2 + 24y + 41 = 0 Reorder the terms: 41 + 24y + 18y2 = 0 Solving 41 + 24y + 18y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 2.277777778 + 1.333333333y + y2 = 0 Move the constant term to the right: Add '-2.277777778' to each side of the equation. 2.277777778 + 1.333333333y + -2.277777778 + y2 = 0 + -2.277777778 Reorder the terms: 2.277777778 + -2.277777778 + 1.333333333y + y2 = 0 + -2.277777778 Combine like terms: 2.277777778 + -2.277777778 = 0.000000000 0.000000000 + 1.333333333y + y2 = 0 + -2.277777778 1.333333333y + y2 = 0 + -2.277777778 Combine like terms: 0 + -2.277777778 = -2.277777778 1.333333333y + y2 = -2.277777778 The y term is 1.333333333y. 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. 1.333333333y + 0.4444444442 + y2 = -2.277777778 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333y + y2 = -2.277777778 + 0.4444444442 Combine like terms: -2.277777778 + 0.4444444442 = -1.8333333338 0.4444444442 + 1.333333333y + y2 = -1.8333333338 Factor a perfect square on the left side: (y + 0.6666666665)(y + 0.6666666665) = -1.8333333338 Can't calculate square root of the right side. The solution to this equation could not be determined.
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