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Simplifying (y + 2)(y + 2) = -148 Reorder the terms: (2 + y)(y + 2) = -148 Reorder the terms: (2 + y)(2 + y) = -148 Multiply (2 + y) * (2 + y) (2(2 + y) + y(2 + y)) = -148 ((2 * 2 + y * 2) + y(2 + y)) = -148 ((4 + 2y) + y(2 + y)) = -148 (4 + 2y + (2 * y + y * y)) = -148 (4 + 2y + (2y + y2)) = -148 Combine like terms: 2y + 2y = 4y (4 + 4y + y2) = -148 Solving 4 + 4y + y2 = -148 Solving for variable 'y'. Reorder the terms: 4 + 148 + 4y + y2 = -148 + 148 Combine like terms: 4 + 148 = 152 152 + 4y + y2 = -148 + 148 Combine like terms: -148 + 148 = 0 152 + 4y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-152' to each side of the equation. 152 + 4y + -152 + y2 = 0 + -152 Reorder the terms: 152 + -152 + 4y + y2 = 0 + -152 Combine like terms: 152 + -152 = 0 0 + 4y + y2 = 0 + -152 4y + y2 = 0 + -152 Combine like terms: 0 + -152 = -152 4y + y2 = -152 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 = -152 + 4 Reorder the terms: 4 + 4y + y2 = -152 + 4 Combine like terms: -152 + 4 = -148 4 + 4y + y2 = -148 Factor a perfect square on the left side: (y + 2)(y + 2) = -148 Can't calculate square root of the right side. The solution to this equation could not be determined.
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