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Simplifying (2y6) + (8y3) + 9 = 0 Reorder the terms: 9 + (8y3) + (2y6) = 0 Solving 9 + (8y3) + (2y6) = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 4.5 + (4y3) + y6 = 0 Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + (4y3) + -4.5 + y6 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + (4y3) + y6 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + (4y3) + y6 = 0 + -4.5 (4y3) + y6 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 (4y3) + y6 = -4.5 The y term is (4y3). Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. (4y3) + 4 + y6 = -4.5 + 4 Reorder the terms: 4 + (4y3) + y6 = -4.5 + 4 Combine like terms: -4.5 + 4 = -0.5 4 + (4y3) + y6 = -0.5 Factor a perfect square on the left side: ((y3) + 2)((y3) + 2) = -0.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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