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Simplifying y2 + 5y = -10 Reorder the terms: 5y + y2 = -10 Solving 5y + y2 = -10 Solving for variable 'y'. Reorder the terms: 10 + 5y + y2 = -10 + 10 Combine like terms: -10 + 10 = 0 10 + 5y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 5y + -10 + y2 = 0 + -10 Reorder the terms: 10 + -10 + 5y + y2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5y + y2 = 0 + -10 5y + y2 = 0 + -10 Combine like terms: 0 + -10 = -10 5y + y2 = -10 The y term is 5y. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5y + 6.25 + y2 = -10 + 6.25 Reorder the terms: 6.25 + 5y + y2 = -10 + 6.25 Combine like terms: -10 + 6.25 = -3.75 6.25 + 5y + y2 = -3.75 Factor a perfect square on the left side: (y + 2.5)(y + 2.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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