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Simplifying 2y2 = -6y + -7 Reorder the terms: 2y2 = -7 + -6y Solving 2y2 = -7 + -6y Solving for variable 'y'. Reorder the terms: 7 + 6y + 2y2 = -7 + -6y + 7 + 6y Reorder the terms: 7 + 6y + 2y2 = -7 + 7 + -6y + 6y Combine like terms: -7 + 7 = 0 7 + 6y + 2y2 = 0 + -6y + 6y 7 + 6y + 2y2 = -6y + 6y Combine like terms: -6y + 6y = 0 7 + 6y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 3.5 + 3y + y2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + 3y + -3.5 + y2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + 3y + y2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 3y + y2 = 0 + -3.5 3y + y2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 3y + y2 = -3.5 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 = -3.5 + 2.25 Reorder the terms: 2.25 + 3y + y2 = -3.5 + 2.25 Combine like terms: -3.5 + 2.25 = -1.25 2.25 + 3y + y2 = -1.25 Factor a perfect square on the left side: (y + 1.5)(y + 1.5) = -1.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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