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Simplifying S(t) = -16t + 80t Multiply S * t tS = -16t + 80t Combine like terms: -16t + 80t = 64t tS = 64t Solving tS = 64t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-64t' to each side of the equation. -64t + tS = 64t + -64t Combine like terms: 64t + -64t = 0 -64t + tS = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-64 + S) = 0Subproblem 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 '(-64 + S)' equal to zero and attempt to solve: Simplifying -64 + S = 0 Solving -64 + S = 0 Move all terms containing t to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + S = 0 + 64 Combine like terms: -64 + 64 = 0 0 + S = 0 + 64 S = 0 + 64 Combine like terms: 0 + 64 = 64 S = 64 Add '-1S' to each side of the equation. S + -1S = 64 + -1S Combine like terms: S + -1S = 0 0 = 64 + -1S Simplifying 0 = 64 + -1S 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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