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Simplifying 8X2 + -6X + 11 = 0 Reorder the terms: 11 + -6X + 8X2 = 0 Solving 11 + -6X + 8X2 = 0 Solving for variable 'X'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.375 + -0.75X + X2 = 0 Move the constant term to the right: Add '-1.375' to each side of the equation. 1.375 + -0.75X + -1.375 + X2 = 0 + -1.375 Reorder the terms: 1.375 + -1.375 + -0.75X + X2 = 0 + -1.375 Combine like terms: 1.375 + -1.375 = 0.000 0.000 + -0.75X + X2 = 0 + -1.375 -0.75X + X2 = 0 + -1.375 Combine like terms: 0 + -1.375 = -1.375 -0.75X + X2 = -1.375 The X term is -0.75X. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75X + 0.140625 + X2 = -1.375 + 0.140625 Reorder the terms: 0.140625 + -0.75X + X2 = -1.375 + 0.140625 Combine like terms: -1.375 + 0.140625 = -1.234375 0.140625 + -0.75X + X2 = -1.234375 Factor a perfect square on the left side: (X + -0.375)(X + -0.375) = -1.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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