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Simplifying 2X2 + -8X + 8 + 1 = 0 Reorder the terms: 8 + 1 + -8X + 2X2 = 0 Combine like terms: 8 + 1 = 9 9 + -8X + 2X2 = 0 Solving 9 + -8X + 2X2 = 0 Solving for variable 'X'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 4.5 + -4X + X2 = 0 Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + -4X + -4.5 + X2 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + -4X + X2 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -4X + X2 = 0 + -4.5 -4X + X2 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 -4X + X2 = -4.5 The X term is -4X. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4X + 4 + X2 = -4.5 + 4 Reorder the terms: 4 + -4X + X2 = -4.5 + 4 Combine like terms: -4.5 + 4 = -0.5 4 + -4X + X2 = -0.5 Factor a perfect square on the left side: (X + -2)(X + -2) = -0.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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