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Simplifying 13 + 6y2 + -9y = 0 Reorder the terms: 13 + -9y + 6y2 = 0 Solving 13 + -9y + 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'. 2.166666667 + -1.5y + y2 = 0 Move the constant term to the right: Add '-2.166666667' to each side of the equation. 2.166666667 + -1.5y + -2.166666667 + y2 = 0 + -2.166666667 Reorder the terms: 2.166666667 + -2.166666667 + -1.5y + y2 = 0 + -2.166666667 Combine like terms: 2.166666667 + -2.166666667 = 0.000000000 0.000000000 + -1.5y + y2 = 0 + -2.166666667 -1.5y + y2 = 0 + -2.166666667 Combine like terms: 0 + -2.166666667 = -2.166666667 -1.5y + y2 = -2.166666667 The y term is -1.5y. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5y + 0.5625 + y2 = -2.166666667 + 0.5625 Reorder the terms: 0.5625 + -1.5y + y2 = -2.166666667 + 0.5625 Combine like terms: -2.166666667 + 0.5625 = -1.604166667 0.5625 + -1.5y + y2 = -1.604166667 Factor a perfect square on the left side: (y + -0.75)(y + -0.75) = -1.604166667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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