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Simplifying (y + -1)(y + -1) = -81 Reorder the terms: (-1 + y)(y + -1) = -81 Reorder the terms: (-1 + y)(-1 + y) = -81 Multiply (-1 + y) * (-1 + y) (-1(-1 + y) + y(-1 + y)) = -81 ((-1 * -1 + y * -1) + y(-1 + y)) = -81 ((1 + -1y) + y(-1 + y)) = -81 (1 + -1y + (-1 * y + y * y)) = -81 (1 + -1y + (-1y + y2)) = -81 Combine like terms: -1y + -1y = -2y (1 + -2y + y2) = -81 Solving 1 + -2y + y2 = -81 Solving for variable 'y'. Reorder the terms: 1 + 81 + -2y + y2 = -81 + 81 Combine like terms: 1 + 81 = 82 82 + -2y + y2 = -81 + 81 Combine like terms: -81 + 81 = 0 82 + -2y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-82' to each side of the equation. 82 + -2y + -82 + y2 = 0 + -82 Reorder the terms: 82 + -82 + -2y + y2 = 0 + -82 Combine like terms: 82 + -82 = 0 0 + -2y + y2 = 0 + -82 -2y + y2 = 0 + -82 Combine like terms: 0 + -82 = -82 -2y + y2 = -82 The y term is -2y. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2y + 1 + y2 = -82 + 1 Reorder the terms: 1 + -2y + y2 = -82 + 1 Combine like terms: -82 + 1 = -81 1 + -2y + y2 = -81 Factor a perfect square on the left side: (y + -1)(y + -1) = -81 Can't calculate square root of the right side. The solution to this equation could not be determined.
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