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Simplifying 6t3 + 3t = 0 Reorder the terms: 3t + 6t3 = 0 Solving 3t + 6t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '3t'. 3t(1 + 2t2) = 0 Ignore the factor 3.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 '(1 + 2t2)' equal to zero and attempt to solve: Simplifying 1 + 2t2 = 0 Solving 1 + 2t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2t2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2t2 = 0 + -1 2t2 = 0 + -1 Combine like terms: 0 + -1 = -1 2t2 = -1 Divide each side by '2'. t2 = -0.5 Simplifying t2 = -0.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
t = {0}
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