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Simplifying y2 + -25y + 312.5 = 0 Reorder the terms: 312.5 + -25y + y2 = 0 Solving 312.5 + -25y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-312.5' to each side of the equation. 312.5 + -25y + -312.5 + y2 = 0 + -312.5 Reorder the terms: 312.5 + -312.5 + -25y + y2 = 0 + -312.5 Combine like terms: 312.5 + -312.5 = 0.0 0.0 + -25y + y2 = 0 + -312.5 -25y + y2 = 0 + -312.5 Combine like terms: 0 + -312.5 = -312.5 -25y + y2 = -312.5 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 = -312.5 + 156.25 Reorder the terms: 156.25 + -25y + y2 = -312.5 + 156.25 Combine like terms: -312.5 + 156.25 = -156.25 156.25 + -25y + y2 = -156.25 Factor a perfect square on the left side: (y + -12.5)(y + -12.5) = -156.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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