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Simplifying 5X2 + -5X + 11 = 0 Reorder the terms: 11 + -5X + 5X2 = 0 Solving 11 + -5X + 5X2 = 0 Solving for variable 'X'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2.2 + -1X + X2 = 0 Move the constant term to the right: Add '-2.2' to each side of the equation. 2.2 + -1X + -2.2 + X2 = 0 + -2.2 Reorder the terms: 2.2 + -2.2 + -1X + X2 = 0 + -2.2 Combine like terms: 2.2 + -2.2 = 0.0 0.0 + -1X + X2 = 0 + -2.2 -1X + X2 = 0 + -2.2 Combine like terms: 0 + -2.2 = -2.2 -1X + X2 = -2.2 The X term is -1X. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1X + 0.25 + X2 = -2.2 + 0.25 Reorder the terms: 0.25 + -1X + X2 = -2.2 + 0.25 Combine like terms: -2.2 + 0.25 = -1.95 0.25 + -1X + X2 = -1.95 Factor a perfect square on the left side: (X + -0.5)(X + -0.5) = -1.95 Can't calculate square root of the right side. The solution to this equation could not be determined.
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