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Simplifying 0 = 10t3 + -4t4 Solving 0 = 10t3 + -4t4 Solving for variable 't'. Remove the zero: -10t3 + 4t4 = 10t3 + -4t4 + -10t3 + 4t4 Reorder the terms: -10t3 + 4t4 = 10t3 + -10t3 + -4t4 + 4t4 Combine like terms: 10t3 + -10t3 = 0 -10t3 + 4t4 = 0 + -4t4 + 4t4 -10t3 + 4t4 = -4t4 + 4t4 Combine like terms: -4t4 + 4t4 = 0 -10t3 + 4t4 = 0 Factor out the Greatest Common Factor (GCF), '2t3'. 2t3(-5 + 2t) = 0 Ignore the factor 2.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 '(-5 + 2t)' equal to zero and attempt to solve: Simplifying -5 + 2t = 0 Solving -5 + 2t = 0 Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2t = 0 + 5 2t = 0 + 5 Combine like terms: 0 + 5 = 5 2t = 5 Divide each side by '2'. t = 2.5 Simplifying t = 2.5Solution
t = {2.5}
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