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Simplifying -2y2 + 9y + -94 = 0 Reorder the terms: -94 + 9y + -2y2 = 0 Solving -94 + 9y + -2y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 47 + -4.5y + y2 = 0 Move the constant term to the right: Add '-47' to each side of the equation. 47 + -4.5y + -47 + y2 = 0 + -47 Reorder the terms: 47 + -47 + -4.5y + y2 = 0 + -47 Combine like terms: 47 + -47 = 0 0 + -4.5y + y2 = 0 + -47 -4.5y + y2 = 0 + -47 Combine like terms: 0 + -47 = -47 -4.5y + y2 = -47 The y term is -4.5y. Take half its coefficient (-2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. -4.5y + 5.0625 + y2 = -47 + 5.0625 Reorder the terms: 5.0625 + -4.5y + y2 = -47 + 5.0625 Combine like terms: -47 + 5.0625 = -41.9375 5.0625 + -4.5y + y2 = -41.9375 Factor a perfect square on the left side: (y + -2.25)(y + -2.25) = -41.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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