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Simplifying 6y2 + 12y + 13 = 2y2 Reorder the terms: 13 + 12y + 6y2 = 2y2 Solving 13 + 12y + 6y2 = 2y2 Solving for variable 'y'. Combine like terms: 6y2 + -2y2 = 4y2 13 + 12y + 4y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 13 + 12y + 4y2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 3.25 + 3y + y2 = 0 Move the constant term to the right: Add '-3.25' to each side of the equation. 3.25 + 3y + -3.25 + y2 = 0 + -3.25 Reorder the terms: 3.25 + -3.25 + 3y + y2 = 0 + -3.25 Combine like terms: 3.25 + -3.25 = 0.00 0.00 + 3y + y2 = 0 + -3.25 3y + y2 = 0 + -3.25 Combine like terms: 0 + -3.25 = -3.25 3y + y2 = -3.25 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 = -3.25 + 2.25 Reorder the terms: 2.25 + 3y + y2 = -3.25 + 2.25 Combine like terms: -3.25 + 2.25 = -1 2.25 + 3y + y2 = -1 Factor a perfect square on the left side: (y + 1.5)(y + 1.5) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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