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Simplifying y2 + -23y + 169 = 0 Reorder the terms: 169 + -23y + y2 = 0 Solving 169 + -23y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-169' to each side of the equation. 169 + -23y + -169 + y2 = 0 + -169 Reorder the terms: 169 + -169 + -23y + y2 = 0 + -169 Combine like terms: 169 + -169 = 0 0 + -23y + y2 = 0 + -169 -23y + y2 = 0 + -169 Combine like terms: 0 + -169 = -169 -23y + y2 = -169 The y term is -23y. Take half its coefficient (-11.5). Square it (132.25) and add it to both sides. Add '132.25' to each side of the equation. -23y + 132.25 + y2 = -169 + 132.25 Reorder the terms: 132.25 + -23y + y2 = -169 + 132.25 Combine like terms: -169 + 132.25 = -36.75 132.25 + -23y + y2 = -36.75 Factor a perfect square on the left side: (y + -11.5)(y + -11.5) = -36.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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