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Simplifying 3y + -1y2 = 47.5 Solving 3y + -1y2 = 47.5 Solving for variable 'y'. Reorder the terms: -47.5 + 3y + -1y2 = 47.5 + -47.5 Combine like terms: 47.5 + -47.5 = 0.0 -47.5 + 3y + -1y2 = 0.0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 47.5 + -3y + y2 = 0.0 Move the constant term to the right: Add '-47.5' to each side of the equation. 47.5 + -3y + -47.5 + y2 = 0.0 + -47.5 Reorder the terms: 47.5 + -47.5 + -3y + y2 = 0.0 + -47.5 Combine like terms: 47.5 + -47.5 = 0.0 0.0 + -3y + y2 = 0.0 + -47.5 -3y + y2 = 0.0 + -47.5 Combine like terms: 0.0 + -47.5 = -47.5 -3y + y2 = -47.5 The y term is -3y. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3y + 2.25 + y2 = -47.5 + 2.25 Reorder the terms: 2.25 + -3y + y2 = -47.5 + 2.25 Combine like terms: -47.5 + 2.25 = -45.25 2.25 + -3y + y2 = -45.25 Factor a perfect square on the left side: (y + -1.5)(y + -1.5) = -45.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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