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Simplifying 2y2 + -1y = -10 Reorder the terms: -1y + 2y2 = -10 Solving -1y + 2y2 = -10 Solving for variable 'y'. Reorder the terms: 10 + -1y + 2y2 = -10 + 10 Combine like terms: -10 + 10 = 0 10 + -1y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 5 + -0.5y + y2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -0.5y + -5 + y2 = 0 + -5 Reorder the terms: 5 + -5 + -0.5y + y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -0.5y + y2 = 0 + -5 -0.5y + y2 = 0 + -5 Combine like terms: 0 + -5 = -5 -0.5y + y2 = -5 The y term is -0.5y. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5y + 0.0625 + y2 = -5 + 0.0625 Reorder the terms: 0.0625 + -0.5y + y2 = -5 + 0.0625 Combine like terms: -5 + 0.0625 = -4.9375 0.0625 + -0.5y + y2 = -4.9375 Factor a perfect square on the left side: (y + -0.25)(y + -0.25) = -4.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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