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Simplifying H(t) = -8t + 68t Multiply H * t tH = -8t + 68t Combine like terms: -8t + 68t = 60t tH = 60t Solving tH = 60t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-60t' to each side of the equation. -60t + tH = 60t + -60t Combine like terms: 60t + -60t = 0 -60t + tH = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-60 + H) = 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 '(-60 + H)' equal to zero and attempt to solve: Simplifying -60 + H = 0 Solving -60 + H = 0 Move all terms containing t to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + H = 0 + 60 Combine like terms: -60 + 60 = 0 0 + H = 0 + 60 H = 0 + 60 Combine like terms: 0 + 60 = 60 H = 60 Add '-1H' to each side of the equation. H + -1H = 60 + -1H Combine like terms: H + -1H = 0 0 = 60 + -1H Simplifying 0 = 60 + -1H 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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