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Simplifying y2 + 2y = -10 Reorder the terms: 2y + y2 = -10 Solving 2y + y2 = -10 Solving for variable 'y'. Reorder the terms: 10 + 2y + y2 = -10 + 10 Combine like terms: -10 + 10 = 0 10 + 2y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 2y + -10 + y2 = 0 + -10 Reorder the terms: 10 + -10 + 2y + y2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2y + y2 = 0 + -10 2y + y2 = 0 + -10 Combine like terms: 0 + -10 = -10 2y + y2 = -10 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 = -10 + 1 Reorder the terms: 1 + 2y + y2 = -10 + 1 Combine like terms: -10 + 1 = -9 1 + 2y + y2 = -9 Factor a perfect square on the left side: (y + 1)(y + 1) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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