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Simplifying y2 + 10y + 43 = 0 Reorder the terms: 43 + 10y + y2 = 0 Solving 43 + 10y + 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 + 10y + -43 + y2 = 0 + -43 Reorder the terms: 43 + -43 + 10y + y2 = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 10y + y2 = 0 + -43 10y + y2 = 0 + -43 Combine like terms: 0 + -43 = -43 10y + y2 = -43 The y term is 10y. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10y + 25 + y2 = -43 + 25 Reorder the terms: 25 + 10y + y2 = -43 + 25 Combine like terms: -43 + 25 = -18 25 + 10y + y2 = -18 Factor a perfect square on the left side: (y + 5)(y + 5) = -18 Can't calculate square root of the right side. The solution to this equation could not be determined.
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