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Simplifying (-8u2 + -2u + 1) + (8u2 + -4u + -6) + -1(8u2 + -2u + -4) = 0 Reorder the terms: (1 + -2u + -8u2) + (8u2 + -4u + -6) + -1(8u2 + -2u + -4) = 0 Remove parenthesis around (1 + -2u + -8u2) 1 + -2u + -8u2 + (8u2 + -4u + -6) + -1(8u2 + -2u + -4) = 0 Reorder the terms: 1 + -2u + -8u2 + (-6 + -4u + 8u2) + -1(8u2 + -2u + -4) = 0 Remove parenthesis around (-6 + -4u + 8u2) 1 + -2u + -8u2 + -6 + -4u + 8u2 + -1(8u2 + -2u + -4) = 0 Reorder the terms: 1 + -2u + -8u2 + -6 + -4u + 8u2 + -1(-4 + -2u + 8u2) = 0 1 + -2u + -8u2 + -6 + -4u + 8u2 + (-4 * -1 + -2u * -1 + 8u2 * -1) = 0 1 + -2u + -8u2 + -6 + -4u + 8u2 + (4 + 2u + -8u2) = 0 Reorder the terms: 1 + -6 + 4 + -2u + -4u + 2u + -8u2 + 8u2 + -8u2 = 0 Combine like terms: 1 + -6 = -5 -5 + 4 + -2u + -4u + 2u + -8u2 + 8u2 + -8u2 = 0 Combine like terms: -5 + 4 = -1 -1 + -2u + -4u + 2u + -8u2 + 8u2 + -8u2 = 0 Combine like terms: -2u + -4u = -6u -1 + -6u + 2u + -8u2 + 8u2 + -8u2 = 0 Combine like terms: -6u + 2u = -4u -1 + -4u + -8u2 + 8u2 + -8u2 = 0 Combine like terms: -8u2 + 8u2 = 0 -1 + -4u + 0 + -8u2 = 0 -1 + -4u + -8u2 = 0 Solving -1 + -4u + -8u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 4u + 8u2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + 4u + 8u2)' equal to zero and attempt to solve: Simplifying 1 + 4u + 8u2 = 0 Solving 1 + 4u + 8u2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.125 + 0.5u + u2 = 0 Move the constant term to the right: Add '-0.125' to each side of the equation. 0.125 + 0.5u + -0.125 + u2 = 0 + -0.125 Reorder the terms: 0.125 + -0.125 + 0.5u + u2 = 0 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + 0.5u + u2 = 0 + -0.125 0.5u + u2 = 0 + -0.125 Combine like terms: 0 + -0.125 = -0.125 0.5u + u2 = -0.125 The u term is 0.5u. 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. 0.5u + 0.0625 + u2 = -0.125 + 0.0625 Reorder the terms: 0.0625 + 0.5u + u2 = -0.125 + 0.0625 Combine like terms: -0.125 + 0.0625 = -0.0625 0.0625 + 0.5u + u2 = -0.0625 Factor a perfect square on the left side: (u + 0.25)(u + 0.25) = -0.0625 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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