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Simplifying 5y2 + -3y + 11 = 0 Reorder the terms: 11 + -3y + 5y2 = 0 Solving 11 + -3y + 5y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2.2 + -0.6y + y2 = 0 Move the constant term to the right: Add '-2.2' to each side of the equation. 2.2 + -0.6y + -2.2 + y2 = 0 + -2.2 Reorder the terms: 2.2 + -2.2 + -0.6y + y2 = 0 + -2.2 Combine like terms: 2.2 + -2.2 = 0.0 0.0 + -0.6y + y2 = 0 + -2.2 -0.6y + y2 = 0 + -2.2 Combine like terms: 0 + -2.2 = -2.2 -0.6y + y2 = -2.2 The y term is -0.6y. Take half its coefficient (-0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. -0.6y + 0.09 + y2 = -2.2 + 0.09 Reorder the terms: 0.09 + -0.6y + y2 = -2.2 + 0.09 Combine like terms: -2.2 + 0.09 = -2.11 0.09 + -0.6y + y2 = -2.11 Factor a perfect square on the left side: (y + -0.3)(y + -0.3) = -2.11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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