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Simplifying (U2 + -11u + 30)(9u + 18) = 0 Reorder the terms: (30 + U2 + -11u)(9u + 18) = 0 Reorder the terms: (30 + U2 + -11u)(18 + 9u) = 0 Multiply (30 + U2 + -11u) * (18 + 9u) (30(18 + 9u) + U2(18 + 9u) + -11u * (18 + 9u)) = 0 ((18 * 30 + 9u * 30) + U2(18 + 9u) + -11u * (18 + 9u)) = 0 ((540 + 270u) + U2(18 + 9u) + -11u * (18 + 9u)) = 0 (540 + 270u + (18 * U2 + 9u * U2) + -11u * (18 + 9u)) = 0 (540 + 270u + (18U2 + 9uU2) + -11u * (18 + 9u)) = 0 (540 + 270u + 18U2 + 9uU2 + (18 * -11u + 9u * -11u)) = 0 (540 + 270u + 18U2 + 9uU2 + (-198u + -99u2)) = 0 Reorder the terms: (540 + 18U2 + 270u + -198u + 9uU2 + -99u2) = 0 Combine like terms: 270u + -198u = 72u (540 + 18U2 + 72u + 9uU2 + -99u2) = 0 Solving 540 + 18U2 + 72u + 9uU2 + -99u2 = 0 Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '-540' to each side of the equation. 540 + 18U2 + 72u + 9uU2 + -540 + -99u2 = 0 + -540 Reorder the terms: 540 + -540 + 18U2 + 72u + 9uU2 + -99u2 = 0 + -540 Combine like terms: 540 + -540 = 0 0 + 18U2 + 72u + 9uU2 + -99u2 = 0 + -540 18U2 + 72u + 9uU2 + -99u2 = 0 + -540 Combine like terms: 0 + -540 = -540 18U2 + 72u + 9uU2 + -99u2 = -540 Add '-72u' to each side of the equation. 18U2 + 72u + 9uU2 + -72u + -99u2 = -540 + -72u Reorder the terms: 18U2 + 72u + -72u + 9uU2 + -99u2 = -540 + -72u Combine like terms: 72u + -72u = 0 18U2 + 0 + 9uU2 + -99u2 = -540 + -72u 18U2 + 9uU2 + -99u2 = -540 + -72u Add '99u2' to each side of the equation. 18U2 + 9uU2 + -99u2 + 99u2 = -540 + -72u + 99u2 Combine like terms: -99u2 + 99u2 = 0 18U2 + 9uU2 + 0 = -540 + -72u + 99u2 18U2 + 9uU2 = -540 + -72u + 99u2 Reorder the terms: 540 + 18U2 + 72u + 9uU2 + -99u2 = -540 + -72u + 99u2 + 540 + 72u + -99u2 Reorder the terms: 540 + 18U2 + 72u + 9uU2 + -99u2 = -540 + 540 + -72u + 72u + 99u2 + -99u2 Combine like terms: -540 + 540 = 0 540 + 18U2 + 72u + 9uU2 + -99u2 = 0 + -72u + 72u + 99u2 + -99u2 540 + 18U2 + 72u + 9uU2 + -99u2 = -72u + 72u + 99u2 + -99u2 Combine like terms: -72u + 72u = 0 540 + 18U2 + 72u + 9uU2 + -99u2 = 0 + 99u2 + -99u2 540 + 18U2 + 72u + 9uU2 + -99u2 = 99u2 + -99u2 Combine like terms: 99u2 + -99u2 = 0 540 + 18U2 + 72u + 9uU2 + -99u2 = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(60 + 2U2 + 8u + uU2 + -11u2) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(60 + 2U2 + 8u + uU2 + -11u2)' equal to zero and attempt to solve: Simplifying 60 + 2U2 + 8u + uU2 + -11u2 = 0 Solving 60 + 2U2 + 8u + uU2 + -11u2 = 0 Move all terms containing U to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + 2U2 + 8u + uU2 + -60 + -11u2 = 0 + -60 Reorder the terms: 60 + -60 + 2U2 + 8u + uU2 + -11u2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 2U2 + 8u + uU2 + -11u2 = 0 + -60 2U2 + 8u + uU2 + -11u2 = 0 + -60 Combine like terms: 0 + -60 = -60 2U2 + 8u + uU2 + -11u2 = -60 Add '-8u' to each side of the equation. 2U2 + 8u + uU2 + -8u + -11u2 = -60 + -8u Reorder the terms: 2U2 + 8u + -8u + uU2 + -11u2 = -60 + -8u Combine like terms: 8u + -8u = 0 2U2 + 0 + uU2 + -11u2 = -60 + -8u 2U2 + uU2 + -11u2 = -60 + -8u Add '11u2' to each side of the equation. 2U2 + uU2 + -11u2 + 11u2 = -60 + -8u + 11u2 Combine like terms: -11u2 + 11u2 = 0 2U2 + uU2 + 0 = -60 + -8u + 11u2 2U2 + uU2 = -60 + -8u + 11u2 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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