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Simplifying 9y2 + 16y + 256 = 0 Reorder the terms: 256 + 16y + 9y2 = 0 Solving 256 + 16y + 9y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 28.44444444 + 1.777777778y + y2 = 0 Move the constant term to the right: Add '-28.44444444' to each side of the equation. 28.44444444 + 1.777777778y + -28.44444444 + y2 = 0 + -28.44444444 Reorder the terms: 28.44444444 + -28.44444444 + 1.777777778y + y2 = 0 + -28.44444444 Combine like terms: 28.44444444 + -28.44444444 = 0.00000000 0.00000000 + 1.777777778y + y2 = 0 + -28.44444444 1.777777778y + y2 = 0 + -28.44444444 Combine like terms: 0 + -28.44444444 = -28.44444444 1.777777778y + y2 = -28.44444444 The y term is 1.777777778y. Take half its coefficient (0.888888889). Square it (0.7901234570) and add it to both sides. Add '0.7901234570' to each side of the equation. 1.777777778y + 0.7901234570 + y2 = -28.44444444 + 0.7901234570 Reorder the terms: 0.7901234570 + 1.777777778y + y2 = -28.44444444 + 0.7901234570 Combine like terms: -28.44444444 + 0.7901234570 = -27.654320983 0.7901234570 + 1.777777778y + y2 = -27.654320983 Factor a perfect square on the left side: (y + 0.888888889)(y + 0.888888889) = -27.654320983 Can't calculate square root of the right side. The solution to this equation could not be determined.
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