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Simplifying 144 + -48y + 4y2 + y2 = 6 Combine like terms: 4y2 + y2 = 5y2 144 + -48y + 5y2 = 6 Solving 144 + -48y + 5y2 = 6 Solving for variable 'y'. Reorder the terms: 144 + -6 + -48y + 5y2 = 6 + -6 Combine like terms: 144 + -6 = 138 138 + -48y + 5y2 = 6 + -6 Combine like terms: 6 + -6 = 0 138 + -48y + 5y2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 27.6 + -9.6y + y2 = 0 Move the constant term to the right: Add '-27.6' to each side of the equation. 27.6 + -9.6y + -27.6 + y2 = 0 + -27.6 Reorder the terms: 27.6 + -27.6 + -9.6y + y2 = 0 + -27.6 Combine like terms: 27.6 + -27.6 = 0.0 0.0 + -9.6y + y2 = 0 + -27.6 -9.6y + y2 = 0 + -27.6 Combine like terms: 0 + -27.6 = -27.6 -9.6y + y2 = -27.6 The y term is -9.6y. Take half its coefficient (-4.8). Square it (23.04) and add it to both sides. Add '23.04' to each side of the equation. -9.6y + 23.04 + y2 = -27.6 + 23.04 Reorder the terms: 23.04 + -9.6y + y2 = -27.6 + 23.04 Combine like terms: -27.6 + 23.04 = -4.56 23.04 + -9.6y + y2 = -4.56 Factor a perfect square on the left side: (y + -4.8)(y + -4.8) = -4.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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