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Simplifying 30t4 + -80t3 = 0 Reorder the terms: -80t3 + 30t4 = 0 Solving -80t3 + 30t4 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '10t3'. 10t3(-8 + 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 '(-8 + 3t)' equal to zero and attempt to solve: Simplifying -8 + 3t = 0 Solving -8 + 3t = 0 Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3t = 0 + 8 3t = 0 + 8 Combine like terms: 0 + 8 = 8 3t = 8 Divide each side by '3'. t = 2.666666667 Simplifying t = 2.666666667Solution
t = {2.666666667}
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