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Simplifying y2 + -5y + 49 = y + 2 Reorder the terms: 49 + -5y + y2 = y + 2 Reorder the terms: 49 + -5y + y2 = 2 + y Solving 49 + -5y + y2 = 2 + y Solving for variable 'y'. Reorder the terms: 49 + -2 + -5y + -1y + y2 = 2 + y + -2 + -1y Combine like terms: 49 + -2 = 47 47 + -5y + -1y + y2 = 2 + y + -2 + -1y Combine like terms: -5y + -1y = -6y 47 + -6y + y2 = 2 + y + -2 + -1y Reorder the terms: 47 + -6y + y2 = 2 + -2 + y + -1y Combine like terms: 2 + -2 = 0 47 + -6y + y2 = 0 + y + -1y 47 + -6y + y2 = y + -1y Combine like terms: y + -1y = 0 47 + -6y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-47' to each side of the equation. 47 + -6y + -47 + y2 = 0 + -47 Reorder the terms: 47 + -47 + -6y + y2 = 0 + -47 Combine like terms: 47 + -47 = 0 0 + -6y + y2 = 0 + -47 -6y + y2 = 0 + -47 Combine like terms: 0 + -47 = -47 -6y + y2 = -47 The y term is -6y. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6y + 9 + y2 = -47 + 9 Reorder the terms: 9 + -6y + y2 = -47 + 9 Combine like terms: -47 + 9 = -38 9 + -6y + y2 = -38 Factor a perfect square on the left side: (y + -3)(y + -3) = -38 Can't calculate square root of the right side. The solution to this equation could not be determined.
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