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Simplifying 32x2 + 1 = 8x Reorder the terms: 1 + 32x2 = 8x Solving 1 + 32x2 = 8x Solving for variable 'x'. Reorder the terms: 1 + -8x + 32x2 = 8x + -8x Combine like terms: 8x + -8x = 0 1 + -8x + 32x2 = 0 Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. 0.03125 + -0.25x + x2 = 0 Move the constant term to the right: Add '-0.03125' to each side of the equation. 0.03125 + -0.25x + -0.03125 + x2 = 0 + -0.03125 Reorder the terms: 0.03125 + -0.03125 + -0.25x + x2 = 0 + -0.03125 Combine like terms: 0.03125 + -0.03125 = 0.00000 0.00000 + -0.25x + x2 = 0 + -0.03125 -0.25x + x2 = 0 + -0.03125 Combine like terms: 0 + -0.03125 = -0.03125 -0.25x + x2 = -0.03125 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 = -0.03125 + 0.015625 Reorder the terms: 0.015625 + -0.25x + x2 = -0.03125 + 0.015625 Combine like terms: -0.03125 + 0.015625 = -0.015625 0.015625 + -0.25x + x2 = -0.015625 Factor a perfect square on the left side: (x + -0.125)(x + -0.125) = -0.015625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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