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Simplifying -1y2 + 25y + 25 = 183 Reorder the terms: 25 + 25y + -1y2 = 183 Solving 25 + 25y + -1y2 = 183 Solving for variable 'y'. Reorder the terms: 25 + -183 + 25y + -1y2 = 183 + -183 Combine like terms: 25 + -183 = -158 -158 + 25y + -1y2 = 183 + -183 Combine like terms: 183 + -183 = 0 -158 + 25y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 158 + -25y + y2 = 0 Move the constant term to the right: Add '-158' to each side of the equation. 158 + -25y + -158 + y2 = 0 + -158 Reorder the terms: 158 + -158 + -25y + y2 = 0 + -158 Combine like terms: 158 + -158 = 0 0 + -25y + y2 = 0 + -158 -25y + y2 = 0 + -158 Combine like terms: 0 + -158 = -158 -25y + y2 = -158 The y term is -25y. Take half its coefficient (-12.5). Square it (156.25) and add it to both sides. Add '156.25' to each side of the equation. -25y + 156.25 + y2 = -158 + 156.25 Reorder the terms: 156.25 + -25y + y2 = -158 + 156.25 Combine like terms: -158 + 156.25 = -1.75 156.25 + -25y + y2 = -1.75 Factor a perfect square on the left side: (y + -12.5)(y + -12.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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