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Simplifying 11y(-4 + -6y) + 5(13y + 1) = 9 (-4 * 11y + -6y * 11y) + 5(13y + 1) = 9 (-44y + -66y2) + 5(13y + 1) = 9 Reorder the terms: -44y + -66y2 + 5(1 + 13y) = 9 -44y + -66y2 + (1 * 5 + 13y * 5) = 9 -44y + -66y2 + (5 + 65y) = 9 Reorder the terms: 5 + -44y + 65y + -66y2 = 9 Combine like terms: -44y + 65y = 21y 5 + 21y + -66y2 = 9 Solving 5 + 21y + -66y2 = 9 Solving for variable 'y'. Reorder the terms: 5 + -9 + 21y + -66y2 = 9 + -9 Combine like terms: 5 + -9 = -4 -4 + 21y + -66y2 = 9 + -9 Combine like terms: 9 + -9 = 0 -4 + 21y + -66y2 = 0 Begin completing the square. Divide all terms by -66 the coefficient of the squared term: Divide each side by '-66'. 0.06060606061 + -0.3181818182y + y2 = 0 Move the constant term to the right: Add '-0.06060606061' to each side of the equation. 0.06060606061 + -0.3181818182y + -0.06060606061 + y2 = 0 + -0.06060606061 Reorder the terms: 0.06060606061 + -0.06060606061 + -0.3181818182y + y2 = 0 + -0.06060606061 Combine like terms: 0.06060606061 + -0.06060606061 = 0.00000000000 0.00000000000 + -0.3181818182y + y2 = 0 + -0.06060606061 -0.3181818182y + y2 = 0 + -0.06060606061 Combine like terms: 0 + -0.06060606061 = -0.06060606061 -0.3181818182y + y2 = -0.06060606061 The y term is -0.3181818182y. Take half its coefficient (-0.1590909091). Square it (0.02530991736) and add it to both sides. Add '0.02530991736' to each side of the equation. -0.3181818182y + 0.02530991736 + y2 = -0.06060606061 + 0.02530991736 Reorder the terms: 0.02530991736 + -0.3181818182y + y2 = -0.06060606061 + 0.02530991736 Combine like terms: -0.06060606061 + 0.02530991736 = -0.03529614325 0.02530991736 + -0.3181818182y + y2 = -0.03529614325 Factor a perfect square on the left side: (y + -0.1590909091)(y + -0.1590909091) = -0.03529614325 Can't calculate square root of the right side. The solution to this equation could not be determined.
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