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Simplifying 128x2 + 1 = 16x Reorder the terms: 1 + 128x2 = 16x Solving 1 + 128x2 = 16x Solving for variable 'x'. Reorder the terms: 1 + -16x + 128x2 = 16x + -16x Combine like terms: 16x + -16x = 0 1 + -16x + 128x2 = 0 Begin completing the square. Divide all terms by 128 the coefficient of the squared term: Divide each side by '128'. 0.0078125 + -0.125x + x2 = 0 Move the constant term to the right: Add '-0.0078125' to each side of the equation. 0.0078125 + -0.125x + -0.0078125 + x2 = 0 + -0.0078125 Reorder the terms: 0.0078125 + -0.0078125 + -0.125x + x2 = 0 + -0.0078125 Combine like terms: 0.0078125 + -0.0078125 = 0.0000000 0.0000000 + -0.125x + x2 = 0 + -0.0078125 -0.125x + x2 = 0 + -0.0078125 Combine like terms: 0 + -0.0078125 = -0.0078125 -0.125x + x2 = -0.0078125 The x term is -0.125x. Take half its coefficient (-0.0625). Square it (0.00390625) and add it to both sides. Add '0.00390625' to each side of the equation. -0.125x + 0.00390625 + x2 = -0.0078125 + 0.00390625 Reorder the terms: 0.00390625 + -0.125x + x2 = -0.0078125 + 0.00390625 Combine like terms: -0.0078125 + 0.00390625 = -0.00390625 0.00390625 + -0.125x + x2 = -0.00390625 Factor a perfect square on the left side: (x + -0.0625)(x + -0.0625) = -0.00390625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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