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Simplifying 2y2 + -3y = -4 Reorder the terms: -3y + 2y2 = -4 Solving -3y + 2y2 = -4 Solving for variable 'y'. Reorder the terms: 4 + -3y + 2y2 = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -3y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 2 + -1.5y + y2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -1.5y + -2 + y2 = 0 + -2 Reorder the terms: 2 + -2 + -1.5y + y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1.5y + y2 = 0 + -2 -1.5y + y2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1.5y + y2 = -2 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 + 0.5625 Reorder the terms: 0.5625 + -1.5y + y2 = -2 + 0.5625 Combine like terms: -2 + 0.5625 = -1.4375 0.5625 + -1.5y + y2 = -1.4375 Factor a perfect square on the left side: (y + -0.75)(y + -0.75) = -1.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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