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Simplifying y2 + -11y = -200 Reorder the terms: -11y + y2 = -200 Solving -11y + y2 = -200 Solving for variable 'y'. Reorder the terms: 200 + -11y + y2 = -200 + 200 Combine like terms: -200 + 200 = 0 200 + -11y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-200' to each side of the equation. 200 + -11y + -200 + y2 = 0 + -200 Reorder the terms: 200 + -200 + -11y + y2 = 0 + -200 Combine like terms: 200 + -200 = 0 0 + -11y + y2 = 0 + -200 -11y + y2 = 0 + -200 Combine like terms: 0 + -200 = -200 -11y + y2 = -200 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 = -200 + 30.25 Reorder the terms: 30.25 + -11y + y2 = -200 + 30.25 Combine like terms: -200 + 30.25 = -169.75 30.25 + -11y + y2 = -169.75 Factor a perfect square on the left side: (y + -5.5)(y + -5.5) = -169.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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