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Simplifying 128x2 + -16x + 26 = 0 Reorder the terms: 26 + -16x + 128x2 = 0 Solving 26 + -16x + 128x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(13 + -8x + 64x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(13 + -8x + 64x2)' equal to zero and attempt to solve: Simplifying 13 + -8x + 64x2 = 0 Solving 13 + -8x + 64x2 = 0 Begin completing the square. Divide all terms by 64 the coefficient of the squared term: Divide each side by '64'. 0.203125 + -0.125x + x2 = 0 Move the constant term to the right: Add '-0.203125' to each side of the equation. 0.203125 + -0.125x + -0.203125 + x2 = 0 + -0.203125 Reorder the terms: 0.203125 + -0.203125 + -0.125x + x2 = 0 + -0.203125 Combine like terms: 0.203125 + -0.203125 = 0.000000 0.000000 + -0.125x + x2 = 0 + -0.203125 -0.125x + x2 = 0 + -0.203125 Combine like terms: 0 + -0.203125 = -0.203125 -0.125x + x2 = -0.203125 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 = -0.203125 + 0.00390625 Reorder the terms: 0.00390625 + -0.125x + x2 = -0.203125 + 0.00390625 Combine like terms: -0.203125 + 0.00390625 = -0.19921875 0.00390625 + -0.125x + x2 = -0.19921875 Factor a perfect square on the left side: (x + -0.0625)(x + -0.0625) = -0.19921875 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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