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Simplifying (8y2) + 22y + 33 = 0 Reorder the terms: 33 + 22y + (8y2) = 0 Solving 33 + 22y + (8y2) = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 4.125 + 2.75y + y2 = 0 Move the constant term to the right: Add '-4.125' to each side of the equation. 4.125 + 2.75y + -4.125 + y2 = 0 + -4.125 Reorder the terms: 4.125 + -4.125 + 2.75y + y2 = 0 + -4.125 Combine like terms: 4.125 + -4.125 = 0.000 0.000 + 2.75y + y2 = 0 + -4.125 2.75y + y2 = 0 + -4.125 Combine like terms: 0 + -4.125 = -4.125 2.75y + y2 = -4.125 The y term is 2.75y. Take half its coefficient (1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. 2.75y + 1.890625 + y2 = -4.125 + 1.890625 Reorder the terms: 1.890625 + 2.75y + y2 = -4.125 + 1.890625 Combine like terms: -4.125 + 1.890625 = -2.234375 1.890625 + 2.75y + y2 = -2.234375 Factor a perfect square on the left side: ((y) + 1.375)((y) + 1.375) = -2.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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