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Simplifying 1 + 8x2 + -2x = 0 Reorder the terms: 1 + -2x + 8x2 = 0 Solving 1 + -2x + 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'. 0.125 + -0.25x + x2 = 0 Move the constant term to the right: Add '-0.125' to each side of the equation. 0.125 + -0.25x + -0.125 + x2 = 0 + -0.125 Reorder the terms: 0.125 + -0.125 + -0.25x + x2 = 0 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + -0.25x + x2 = 0 + -0.125 -0.25x + x2 = 0 + -0.125 Combine like terms: 0 + -0.125 = -0.125 -0.25x + x2 = -0.125 The x term is -0.25x. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25x + 0.015625 + x2 = -0.125 + 0.015625 Reorder the terms: 0.015625 + -0.25x + x2 = -0.125 + 0.015625 Combine like terms: -0.125 + 0.015625 = -0.109375 0.015625 + -0.25x + x2 = -0.109375 Factor a perfect square on the left side: (x + -0.125)(x + -0.125) = -0.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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