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Simplifying 9y2 + 12y + 5 = 0 Reorder the terms: 5 + 12y + 9y2 = 0 Solving 5 + 12y + 9y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.5555555556 + 1.333333333y + y2 = 0 Move the constant term to the right: Add '-0.5555555556' to each side of the equation. 0.5555555556 + 1.333333333y + -0.5555555556 + y2 = 0 + -0.5555555556 Reorder the terms: 0.5555555556 + -0.5555555556 + 1.333333333y + y2 = 0 + -0.5555555556 Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000 0.0000000000 + 1.333333333y + y2 = 0 + -0.5555555556 1.333333333y + y2 = 0 + -0.5555555556 Combine like terms: 0 + -0.5555555556 = -0.5555555556 1.333333333y + y2 = -0.5555555556 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 = -0.5555555556 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333y + y2 = -0.5555555556 + 0.4444444442 Combine like terms: -0.5555555556 + 0.4444444442 = -0.1111111114 0.4444444442 + 1.333333333y + y2 = -0.1111111114 Factor a perfect square on the left side: (y + 0.6666666665)(y + 0.6666666665) = -0.1111111114 Can't calculate square root of the right side. The solution to this equation could not be determined.
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