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Simplifying -4y2 + 18y + -125 = 0 Reorder the terms: -125 + 18y + -4y2 = 0 Solving -125 + 18y + -4y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 31.25 + -4.5y + y2 = 0 Move the constant term to the right: Add '-31.25' to each side of the equation. 31.25 + -4.5y + -31.25 + y2 = 0 + -31.25 Reorder the terms: 31.25 + -31.25 + -4.5y + y2 = 0 + -31.25 Combine like terms: 31.25 + -31.25 = 0.00 0.00 + -4.5y + y2 = 0 + -31.25 -4.5y + y2 = 0 + -31.25 Combine like terms: 0 + -31.25 = -31.25 -4.5y + y2 = -31.25 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 = -31.25 + 5.0625 Reorder the terms: 5.0625 + -4.5y + y2 = -31.25 + 5.0625 Combine like terms: -31.25 + 5.0625 = -26.1875 5.0625 + -4.5y + y2 = -26.1875 Factor a perfect square on the left side: (y + -2.25)(y + -2.25) = -26.1875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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