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Simplifying y2 + 11y + 43 = 0 Reorder the terms: 43 + 11y + y2 = 0 Solving 43 + 11y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-43' to each side of the equation. 43 + 11y + -43 + y2 = 0 + -43 Reorder the terms: 43 + -43 + 11y + y2 = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 11y + y2 = 0 + -43 11y + y2 = 0 + -43 Combine like terms: 0 + -43 = -43 11y + y2 = -43 The y term is 11y. Take half its coefficient (5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. 11y + 30.25 + y2 = -43 + 30.25 Reorder the terms: 30.25 + 11y + y2 = -43 + 30.25 Combine like terms: -43 + 30.25 = -12.75 30.25 + 11y + y2 = -12.75 Factor a perfect square on the left side: (y + 5.5)(y + 5.5) = -12.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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