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Simplifying 9y2 = 12y + -5 Reorder the terms: 9y2 = -5 + 12y Solving 9y2 = -5 + 12y Solving for variable 'y'. Reorder the terms: 5 + -12y + 9y2 = -5 + 12y + 5 + -12y Reorder the terms: 5 + -12y + 9y2 = -5 + 5 + 12y + -12y Combine like terms: -5 + 5 = 0 5 + -12y + 9y2 = 0 + 12y + -12y 5 + -12y + 9y2 = 12y + -12y Combine like terms: 12y + -12y = 0 5 + -12y + 9y2 = 0 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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