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Simplifying y2 + 11y + 49 = 4 Reorder the terms: 49 + 11y + y2 = 4 Solving 49 + 11y + y2 = 4 Solving for variable 'y'. Reorder the terms: 49 + -4 + 11y + y2 = 4 + -4 Combine like terms: 49 + -4 = 45 45 + 11y + y2 = 4 + -4 Combine like terms: 4 + -4 = 0 45 + 11y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-45' to each side of the equation. 45 + 11y + -45 + y2 = 0 + -45 Reorder the terms: 45 + -45 + 11y + y2 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 11y + y2 = 0 + -45 11y + y2 = 0 + -45 Combine like terms: 0 + -45 = -45 11y + y2 = -45 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 = -45 + 30.25 Reorder the terms: 30.25 + 11y + y2 = -45 + 30.25 Combine like terms: -45 + 30.25 = -14.75 30.25 + 11y + y2 = -14.75 Factor a perfect square on the left side: (y + 5.5)(y + 5.5) = -14.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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