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Simplifying 3y2 + -9y + 31 = 0 Reorder the terms: 31 + -9y + 3y2 = 0 Solving 31 + -9y + 3y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 10.33333333 + -3y + y2 = 0 Move the constant term to the right: Add '-10.33333333' to each side of the equation. 10.33333333 + -3y + -10.33333333 + y2 = 0 + -10.33333333 Reorder the terms: 10.33333333 + -10.33333333 + -3y + y2 = 0 + -10.33333333 Combine like terms: 10.33333333 + -10.33333333 = 0.00000000 0.00000000 + -3y + y2 = 0 + -10.33333333 -3y + y2 = 0 + -10.33333333 Combine like terms: 0 + -10.33333333 = -10.33333333 -3y + y2 = -10.33333333 The y term is -3y. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3y + 2.25 + y2 = -10.33333333 + 2.25 Reorder the terms: 2.25 + -3y + y2 = -10.33333333 + 2.25 Combine like terms: -10.33333333 + 2.25 = -8.08333333 2.25 + -3y + y2 = -8.08333333 Factor a perfect square on the left side: (y + -1.5)(y + -1.5) = -8.08333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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