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Simplifying y2 + 5 + -4y + 17 = 0 Reorder the terms: 5 + 17 + -4y + y2 = 0 Combine like terms: 5 + 17 = 22 22 + -4y + y2 = 0 Solving 22 + -4y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-22' to each side of the equation. 22 + -4y + -22 + y2 = 0 + -22 Reorder the terms: 22 + -22 + -4y + y2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -4y + y2 = 0 + -22 -4y + y2 = 0 + -22 Combine like terms: 0 + -22 = -22 -4y + y2 = -22 The y term is -4y. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4y + 4 + y2 = -22 + 4 Reorder the terms: 4 + -4y + y2 = -22 + 4 Combine like terms: -22 + 4 = -18 4 + -4y + y2 = -18 Factor a perfect square on the left side: (y + -2)(y + -2) = -18 Can't calculate square root of the right side. The solution to this equation could not be determined.
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