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Simplifying 0 = 5y2 + -52y + 160 Reorder the terms: 0 = 160 + -52y + 5y2 Solving 0 = 160 + -52y + 5y2 Solving for variable 'y'. Combine like terms: 0 + -160 = -160 -160 + 52y + -5y2 = 160 + -52y + 5y2 + -160 + 52y + -5y2 Reorder the terms: -160 + 52y + -5y2 = 160 + -160 + -52y + 52y + 5y2 + -5y2 Combine like terms: 160 + -160 = 0 -160 + 52y + -5y2 = 0 + -52y + 52y + 5y2 + -5y2 -160 + 52y + -5y2 = -52y + 52y + 5y2 + -5y2 Combine like terms: -52y + 52y = 0 -160 + 52y + -5y2 = 0 + 5y2 + -5y2 -160 + 52y + -5y2 = 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 -160 + 52y + -5y2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 32 + -10.4y + y2 = 0 Move the constant term to the right: Add '-32' to each side of the equation. 32 + -10.4y + -32 + y2 = 0 + -32 Reorder the terms: 32 + -32 + -10.4y + y2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -10.4y + y2 = 0 + -32 -10.4y + y2 = 0 + -32 Combine like terms: 0 + -32 = -32 -10.4y + y2 = -32 The y term is -10.4y. Take half its coefficient (-5.2). Square it (27.04) and add it to both sides. Add '27.04' to each side of the equation. -10.4y + 27.04 + y2 = -32 + 27.04 Reorder the terms: 27.04 + -10.4y + y2 = -32 + 27.04 Combine like terms: -32 + 27.04 = -4.96 27.04 + -10.4y + y2 = -4.96 Factor a perfect square on the left side: (y + -5.2)(y + -5.2) = -4.96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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