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Simplifying y2 + 8y + 9 + 72 = 0 Reorder the terms: 9 + 72 + 8y + y2 = 0 Combine like terms: 9 + 72 = 81 81 + 8y + y2 = 0 Solving 81 + 8y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-81' to each side of the equation. 81 + 8y + -81 + y2 = 0 + -81 Reorder the terms: 81 + -81 + 8y + y2 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + 8y + y2 = 0 + -81 8y + y2 = 0 + -81 Combine like terms: 0 + -81 = -81 8y + y2 = -81 The y term is 8y. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8y + 16 + y2 = -81 + 16 Reorder the terms: 16 + 8y + y2 = -81 + 16 Combine like terms: -81 + 16 = -65 16 + 8y + y2 = -65 Factor a perfect square on the left side: (y + 4)(y + 4) = -65 Can't calculate square root of the right side. The solution to this equation could not be determined.
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