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Simplifying y2 + 4.8y + 9.6 = 0 Reorder the terms: 9.6 + 4.8y + y2 = 0 Solving 9.6 + 4.8y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-9.6' to each side of the equation. 9.6 + 4.8y + -9.6 + y2 = 0 + -9.6 Reorder the terms: 9.6 + -9.6 + 4.8y + y2 = 0 + -9.6 Combine like terms: 9.6 + -9.6 = 0.0 0.0 + 4.8y + y2 = 0 + -9.6 4.8y + y2 = 0 + -9.6 Combine like terms: 0 + -9.6 = -9.6 4.8y + y2 = -9.6 The y term is 4.8y. Take half its coefficient (2.4). Square it (5.76) and add it to both sides. Add '5.76' to each side of the equation. 4.8y + 5.76 + y2 = -9.6 + 5.76 Reorder the terms: 5.76 + 4.8y + y2 = -9.6 + 5.76 Combine like terms: -9.6 + 5.76 = -3.84 5.76 + 4.8y + y2 = -3.84 Factor a perfect square on the left side: (y + 2.4)(y + 2.4) = -3.84 Can't calculate square root of the right side. The solution to this equation could not be determined.
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