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Simplifying (6u2 + -2u + 2) + (-7u2 + -3u + 5) + -1(-9u2 + 5u + -3) = 0 Reorder the terms: (2 + -2u + 6u2) + (-7u2 + -3u + 5) + -1(-9u2 + 5u + -3) = 0 Remove parenthesis around (2 + -2u + 6u2) 2 + -2u + 6u2 + (-7u2 + -3u + 5) + -1(-9u2 + 5u + -3) = 0 Reorder the terms: 2 + -2u + 6u2 + (5 + -3u + -7u2) + -1(-9u2 + 5u + -3) = 0 Remove parenthesis around (5 + -3u + -7u2) 2 + -2u + 6u2 + 5 + -3u + -7u2 + -1(-9u2 + 5u + -3) = 0 Reorder the terms: 2 + -2u + 6u2 + 5 + -3u + -7u2 + -1(-3 + 5u + -9u2) = 0 2 + -2u + 6u2 + 5 + -3u + -7u2 + (-3 * -1 + 5u * -1 + -9u2 * -1) = 0 2 + -2u + 6u2 + 5 + -3u + -7u2 + (3 + -5u + 9u2) = 0 Reorder the terms: 2 + 5 + 3 + -2u + -3u + -5u + 6u2 + -7u2 + 9u2 = 0 Combine like terms: 2 + 5 = 7 7 + 3 + -2u + -3u + -5u + 6u2 + -7u2 + 9u2 = 0 Combine like terms: 7 + 3 = 10 10 + -2u + -3u + -5u + 6u2 + -7u2 + 9u2 = 0 Combine like terms: -2u + -3u = -5u 10 + -5u + -5u + 6u2 + -7u2 + 9u2 = 0 Combine like terms: -5u + -5u = -10u 10 + -10u + 6u2 + -7u2 + 9u2 = 0 Combine like terms: 6u2 + -7u2 = -1u2 10 + -10u + -1u2 + 9u2 = 0 Combine like terms: -1u2 + 9u2 = 8u2 10 + -10u + 8u2 = 0 Solving 10 + -10u + 8u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2'. 2(5 + -5u + 4u2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -5u + 4u2)' equal to zero and attempt to solve: Simplifying 5 + -5u + 4u2 = 0 Solving 5 + -5u + 4u2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.25 + -1.25u + u2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + -1.25u + -1.25 + u2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + -1.25u + u2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -1.25u + u2 = 0 + -1.25 -1.25u + u2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 -1.25u + u2 = -1.25 The u term is -1.25u. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25u + 0.390625 + u2 = -1.25 + 0.390625 Reorder the terms: 0.390625 + -1.25u + u2 = -1.25 + 0.390625 Combine like terms: -1.25 + 0.390625 = -0.859375 0.390625 + -1.25u + u2 = -0.859375 Factor a perfect square on the left side: (u + -0.625)(u + -0.625) = -0.859375 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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