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Simplifying 5y2 + -20y + 60 = 1 Reorder the terms: 60 + -20y + 5y2 = 1 Solving 60 + -20y + 5y2 = 1 Solving for variable 'y'. Reorder the terms: 60 + -1 + -20y + 5y2 = 1 + -1 Combine like terms: 60 + -1 = 59 59 + -20y + 5y2 = 1 + -1 Combine like terms: 1 + -1 = 0 59 + -20y + 5y2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 11.8 + -4y + y2 = 0 Move the constant term to the right: Add '-11.8' to each side of the equation. 11.8 + -4y + -11.8 + y2 = 0 + -11.8 Reorder the terms: 11.8 + -11.8 + -4y + y2 = 0 + -11.8 Combine like terms: 11.8 + -11.8 = 0.0 0.0 + -4y + y2 = 0 + -11.8 -4y + y2 = 0 + -11.8 Combine like terms: 0 + -11.8 = -11.8 -4y + y2 = -11.8 The y term is -4y. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4y + 4 + y2 = -11.8 + 4 Reorder the terms: 4 + -4y + y2 = -11.8 + 4 Combine like terms: -11.8 + 4 = -7.8 4 + -4y + y2 = -7.8 Factor a perfect square on the left side: (y + -2)(y + -2) = -7.8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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