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Simplifying 4X2 + -2X + 8 = 1 Reorder the terms: 8 + -2X + 4X2 = 1 Solving 8 + -2X + 4X2 = 1 Solving for variable 'X'. Reorder the terms: 8 + -1 + -2X + 4X2 = 1 + -1 Combine like terms: 8 + -1 = 7 7 + -2X + 4X2 = 1 + -1 Combine like terms: 1 + -1 = 0 7 + -2X + 4X2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.75 + -0.5X + X2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + -0.5X + -1.75 + X2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + -0.5X + X2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -0.5X + X2 = 0 + -1.75 -0.5X + X2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 -0.5X + X2 = -1.75 The X term is -0.5X. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5X + 0.0625 + X2 = -1.75 + 0.0625 Reorder the terms: 0.0625 + -0.5X + X2 = -1.75 + 0.0625 Combine like terms: -1.75 + 0.0625 = -1.6875 0.0625 + -0.5X + X2 = -1.6875 Factor a perfect square on the left side: (X + -0.25)(X + -0.25) = -1.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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