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Simplifying 4t(2t + 3u) = 0 (2t * 4t + 3u * 4t) = 0 Reorder the terms: (12tu + 8t2) = 0 (12tu + 8t2) = 0 Solving 12tu + 8t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4t'. 4t(3u + 2t) = 0 Ignore the factor 4.Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(3u + 2t)' equal to zero and attempt to solve: Simplifying 3u + 2t = 0 Reorder the terms: 2t + 3u = 0 Solving 2t + 3u = 0 Move all terms containing t to the left, all other terms to the right. Add '-3u' to each side of the equation. 2t + 3u + -3u = 0 + -3u Combine like terms: 3u + -3u = 0 2t + 0 = 0 + -3u 2t = 0 + -3u Remove the zero: 2t = -3u Divide each side by '2'. t = -1.5u Simplifying t = -1.5uSolution
t = {0, -1.5u}
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