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Simplifying 2y2 + 7y + 15 + -1y2 + 10 + 25 = 0 Reorder the terms: 15 + 10 + 25 + 7y + 2y2 + -1y2 = 0 Combine like terms: 15 + 10 = 25 25 + 25 + 7y + 2y2 + -1y2 = 0 Combine like terms: 25 + 25 = 50 50 + 7y + 2y2 + -1y2 = 0 Combine like terms: 2y2 + -1y2 = 1y2 50 + 7y + 1y2 = 0 Solving 50 + 7y + 1y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-50' to each side of the equation. 50 + 7y + -50 + y2 = 0 + -50 Reorder the terms: 50 + -50 + 7y + y2 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 7y + y2 = 0 + -50 7y + y2 = 0 + -50 Combine like terms: 0 + -50 = -50 7y + y2 = -50 The y term is 7y. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7y + 12.25 + y2 = -50 + 12.25 Reorder the terms: 12.25 + 7y + y2 = -50 + 12.25 Combine like terms: -50 + 12.25 = -37.75 12.25 + 7y + y2 = -37.75 Factor a perfect square on the left side: (y + 3.5)(y + 3.5) = -37.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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