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Simplifying t(2u + 4) + -6u = -6 Reorder the terms: t(4 + 2u) + -6u = -6 (4 * t + 2u * t) + -6u = -6 (4t + 2tu) + -6u = -6 Solving 4t + 2tu + -6u = -6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6u' to each side of the equation. 4t + 2tu + -6u + 6u = -6 + 6u Combine like terms: -6u + 6u = 0 4t + 2tu + 0 = -6 + 6u 4t + 2tu = -6 + 6u Reorder the terms: 6 + 4t + 2tu + -6u = -6 + 6u + 6 + -6u Reorder the terms: 6 + 4t + 2tu + -6u = -6 + 6 + 6u + -6u Combine like terms: -6 + 6 = 0 6 + 4t + 2tu + -6u = 0 + 6u + -6u 6 + 4t + 2tu + -6u = 6u + -6u Combine like terms: 6u + -6u = 0 6 + 4t + 2tu + -6u = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + 2t + tu + -3u) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + 2t + tu + -3u)' equal to zero and attempt to solve: Simplifying 3 + 2t + tu + -3u = 0 Solving 3 + 2t + tu + -3u = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2t + tu + -3 + -3u = 0 + -3 Reorder the terms: 3 + -3 + 2t + tu + -3u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2t + tu + -3u = 0 + -3 2t + tu + -3u = 0 + -3 Combine like terms: 0 + -3 = -3 2t + tu + -3u = -3 Add '3u' to each side of the equation. 2t + tu + -3u + 3u = -3 + 3u Combine like terms: -3u + 3u = 0 2t + tu + 0 = -3 + 3u 2t + tu = -3 + 3u 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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