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Simplifying 0.1y2 + 1.0y + 24 = 0 Reorder the terms: 24 + 1.0y + 0.1y2 = 0 Solving 24 + 1.0y + 0.1y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 0.1 the coefficient of the squared term: Divide each side by '0.1'. 240 + 10y + y2 = 0 Move the constant term to the right: Add '-240' to each side of the equation. 240 + 10y + -240 + y2 = 0 + -240 Reorder the terms: 240 + -240 + 10y + y2 = 0 + -240 Combine like terms: 240 + -240 = 0 0 + 10y + y2 = 0 + -240 10y + y2 = 0 + -240 Combine like terms: 0 + -240 = -240 10y + y2 = -240 The y term is 10y. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10y + 25 + y2 = -240 + 25 Reorder the terms: 25 + 10y + y2 = -240 + 25 Combine like terms: -240 + 25 = -215 25 + 10y + y2 = -215 Factor a perfect square on the left side: (y + 5)(y + 5) = -215 Can't calculate square root of the right side. The solution to this equation could not be determined.
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