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Simplifying -8 = y(y + -2) Reorder the terms: -8 = y(-2 + y) -8 = (-2 * y + y * y) -8 = (-2y + y2) Solving -8 = -2y + y2 Solving for variable 'y'. Reorder the terms: -8 + 2y + -1y2 = -2y + 2y + y2 + -1y2 Combine like terms: -2y + 2y = 0 -8 + 2y + -1y2 = 0 + y2 + -1y2 -8 + 2y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -8 + 2y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 8 + -2y + y2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -2y + -8 + y2 = 0 + -8 Reorder the terms: 8 + -8 + -2y + y2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2y + y2 = 0 + -8 -2y + y2 = 0 + -8 Combine like terms: 0 + -8 = -8 -2y + y2 = -8 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 = -8 + 1 Reorder the terms: 1 + -2y + y2 = -8 + 1 Combine like terms: -8 + 1 = -7 1 + -2y + y2 = -7 Factor a perfect square on the left side: (y + -1)(y + -1) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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