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Simplifying 3u(3 + -1U) + 1 = 31 (3 * 3u + -1U * 3u) + 1 = 31 (9u + -3uU) + 1 = 31 Reorder the terms: 1 + 9u + -3uU = 31 Solving 1 + 9u + -3uU = 31 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 9u + -1 + -3uU = 31 + -1 Reorder the terms: 1 + -1 + 9u + -3uU = 31 + -1 Combine like terms: 1 + -1 = 0 0 + 9u + -3uU = 31 + -1 9u + -3uU = 31 + -1 Combine like terms: 31 + -1 = 30 9u + -3uU = 30 Reorder the terms: -30 + 9u + -3uU = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 9u + -3uU = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-10 + 3u + -1uU) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-10 + 3u + -1uU)' equal to zero and attempt to solve: Simplifying -10 + 3u + -1uU = 0 Solving -10 + 3u + -1uU = 0 Move all terms containing u to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 3u + 10 + -1uU = 0 + 10 Reorder the terms: -10 + 10 + 3u + -1uU = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3u + -1uU = 0 + 10 3u + -1uU = 0 + 10 Combine like terms: 0 + 10 = 10 3u + -1uU = 10 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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