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Simplifying 11y2 + 3y + 11 = 0 Reorder the terms: 11 + 3y + 11y2 = 0 Solving 11 + 3y + 11y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 1 + 0.2727272727y + y2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.2727272727y + -1 + y2 = 0 + -1 Reorder the terms: 1 + -1 + 0.2727272727y + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.2727272727y + y2 = 0 + -1 0.2727272727y + y2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.2727272727y + y2 = -1 The y term is 0.2727272727y. Take half its coefficient (0.1363636364). Square it (0.01859504133) and add it to both sides. Add '0.01859504133' to each side of the equation. 0.2727272727y + 0.01859504133 + y2 = -1 + 0.01859504133 Reorder the terms: 0.01859504133 + 0.2727272727y + y2 = -1 + 0.01859504133 Combine like terms: -1 + 0.01859504133 = -0.98140495867 0.01859504133 + 0.2727272727y + y2 = -0.98140495867 Factor a perfect square on the left side: (y + 0.1363636364)(y + 0.1363636364) = -0.98140495867 Can't calculate square root of the right side. The solution to this equation could not be determined.
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