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Simplifying -2y2 + 3y = 5 Reorder the terms: 3y + -2y2 = 5 Solving 3y + -2y2 = 5 Solving for variable 'y'. Reorder the terms: -5 + 3y + -2y2 = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + 3y + -2y2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 2.5 + -1.5y + y2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + -1.5y + -2.5 + y2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + -1.5y + y2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -1.5y + y2 = 0 + -2.5 -1.5y + y2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -1.5y + y2 = -2.5 The y term is -1.5y. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5y + 0.5625 + y2 = -2.5 + 0.5625 Reorder the terms: 0.5625 + -1.5y + y2 = -2.5 + 0.5625 Combine like terms: -2.5 + 0.5625 = -1.9375 0.5625 + -1.5y + y2 = -1.9375 Factor a perfect square on the left side: (y + -0.75)(y + -0.75) = -1.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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