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Simplifying 30t4 + -20t3 = 0 Reorder the terms: -20t3 + 30t4 = 0 Solving -20t3 + 30t4 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '10t3'. 10t3(-2 + 3t) = 0 Ignore the factor 10.Subproblem 1
Set the factor 't3' equal to zero and attempt to solve: Simplifying t3 = 0 Solving t3 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2 + 3t)' equal to zero and attempt to solve: Simplifying -2 + 3t = 0 Solving -2 + 3t = 0 Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3t = 0 + 2 3t = 0 + 2 Combine like terms: 0 + 2 = 2 3t = 2 Divide each side by '3'. t = 0.6666666667 Simplifying t = 0.6666666667Solution
t = {0.6666666667}
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