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Simplifying [y + 7][y + 7] = y Reorder the terms: [7 + y][y + 7] = y Reorder the terms: [7 + y][7 + y] = y Multiply [7 + y] * [7 + y] [7[7 + y] + y[7 + y]] = y [[7 * 7 + y * 7] + y[7 + y]] = y [[49 + 7y] + y[7 + y]] = y [49 + 7y + [7 * y + y * y]] = y [49 + 7y + [7y + y2]] = y Combine like terms: 7y + 7y = 14y [49 + 14y + y2] = y Solving 49 + 14y + y2 = y Solving for variable 'y'. Reorder the terms: 49 + 14y + -1y + y2 = y + -1y Combine like terms: 14y + -1y = 13y 49 + 13y + y2 = y + -1y Combine like terms: y + -1y = 0 49 + 13y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-49' to each side of the equation. 49 + 13y + -49 + y2 = 0 + -49 Reorder the terms: 49 + -49 + 13y + y2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 13y + y2 = 0 + -49 13y + y2 = 0 + -49 Combine like terms: 0 + -49 = -49 13y + y2 = -49 The y term is 13y. Take half its coefficient (6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. 13y + 42.25 + y2 = -49 + 42.25 Reorder the terms: 42.25 + 13y + y2 = -49 + 42.25 Combine like terms: -49 + 42.25 = -6.75 42.25 + 13y + y2 = -6.75 Factor a perfect square on the left side: (y + 6.5)(y + 6.5) = -6.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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