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Simplifying (y + 2)(y + 2) = -12 Reorder the terms: (2 + y)(y + 2) = -12 Reorder the terms: (2 + y)(2 + y) = -12 Multiply (2 + y) * (2 + y) (2(2 + y) + y(2 + y)) = -12 ((2 * 2 + y * 2) + y(2 + y)) = -12 ((4 + 2y) + y(2 + y)) = -12 (4 + 2y + (2 * y + y * y)) = -12 (4 + 2y + (2y + y2)) = -12 Combine like terms: 2y + 2y = 4y (4 + 4y + y2) = -12 Solving 4 + 4y + y2 = -12 Solving for variable 'y'. Reorder the terms: 4 + 12 + 4y + y2 = -12 + 12 Combine like terms: 4 + 12 = 16 16 + 4y + y2 = -12 + 12 Combine like terms: -12 + 12 = 0 16 + 4y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + 4y + -16 + y2 = 0 + -16 Reorder the terms: 16 + -16 + 4y + y2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 4y + y2 = 0 + -16 4y + y2 = 0 + -16 Combine like terms: 0 + -16 = -16 4y + y2 = -16 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 = -16 + 4 Reorder the terms: 4 + 4y + y2 = -16 + 4 Combine like terms: -16 + 4 = -12 4 + 4y + y2 = -12 Factor a perfect square on the left side: (y + 2)(y + 2) = -12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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