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Simplifying y2 + 54 = 5y Reorder the terms: 54 + y2 = 5y Solving 54 + y2 = 5y Solving for variable 'y'. Reorder the terms: 54 + -5y + y2 = 5y + -5y Combine like terms: 5y + -5y = 0 54 + -5y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-54' to each side of the equation. 54 + -5y + -54 + y2 = 0 + -54 Reorder the terms: 54 + -54 + -5y + y2 = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -5y + y2 = 0 + -54 -5y + y2 = 0 + -54 Combine like terms: 0 + -54 = -54 -5y + y2 = -54 The y term is -5y. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5y + 6.25 + y2 = -54 + 6.25 Reorder the terms: 6.25 + -5y + y2 = -54 + 6.25 Combine like terms: -54 + 6.25 = -47.75 6.25 + -5y + y2 = -47.75 Factor a perfect square on the left side: (y + -2.5)(y + -2.5) = -47.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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