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Simplifying 0.4y2 + -36y + 1000 = 0 Reorder the terms: 1000 + -36y + 0.4y2 = 0 Solving 1000 + -36y + 0.4y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 0.4 the coefficient of the squared term: Divide each side by '0.4'. 2500 + -90y + y2 = 0 Move the constant term to the right: Add '-2500' to each side of the equation. 2500 + -90y + -2500 + y2 = 0 + -2500 Reorder the terms: 2500 + -2500 + -90y + y2 = 0 + -2500 Combine like terms: 2500 + -2500 = 0 0 + -90y + y2 = 0 + -2500 -90y + y2 = 0 + -2500 Combine like terms: 0 + -2500 = -2500 -90y + y2 = -2500 The y term is -90y. Take half its coefficient (-45). Square it (2025) and add it to both sides. Add '2025' to each side of the equation. -90y + 2025 + y2 = -2500 + 2025 Reorder the terms: 2025 + -90y + y2 = -2500 + 2025 Combine like terms: -2500 + 2025 = -475 2025 + -90y + y2 = -475 Factor a perfect square on the left side: (y + -45)(y + -45) = -475 Can't calculate square root of the right side. The solution to this equation could not be determined.
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