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Simplifying 9y2 + -13y + 42 = 0 Reorder the terms: 42 + -13y + 9y2 = 0 Solving 42 + -13y + 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'. 4.666666667 + -1.444444444y + y2 = 0 Move the constant term to the right: Add '-4.666666667' to each side of the equation. 4.666666667 + -1.444444444y + -4.666666667 + y2 = 0 + -4.666666667 Reorder the terms: 4.666666667 + -4.666666667 + -1.444444444y + y2 = 0 + -4.666666667 Combine like terms: 4.666666667 + -4.666666667 = 0.000000000 0.000000000 + -1.444444444y + y2 = 0 + -4.666666667 -1.444444444y + y2 = 0 + -4.666666667 Combine like terms: 0 + -4.666666667 = -4.666666667 -1.444444444y + y2 = -4.666666667 The y term is -1.444444444y. Take half its coefficient (-0.722222222). Square it (0.5216049380) and add it to both sides. Add '0.5216049380' to each side of the equation. -1.444444444y + 0.5216049380 + y2 = -4.666666667 + 0.5216049380 Reorder the terms: 0.5216049380 + -1.444444444y + y2 = -4.666666667 + 0.5216049380 Combine like terms: -4.666666667 + 0.5216049380 = -4.145061729 0.5216049380 + -1.444444444y + y2 = -4.145061729 Factor a perfect square on the left side: (y + -0.722222222)(y + -0.722222222) = -4.145061729 Can't calculate square root of the right side. The solution to this equation could not be determined.
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