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Simplifying H(t) = -12t + 480t Multiply H * t tH = -12t + 480t Combine like terms: -12t + 480t = 468t tH = 468t Solving tH = 468t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-468t' to each side of the equation. -468t + tH = 468t + -468t Combine like terms: 468t + -468t = 0 -468t + tH = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-468 + 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 '(-468 + H)' equal to zero and attempt to solve: Simplifying -468 + H = 0 Solving -468 + H = 0 Move all terms containing t to the left, all other terms to the right. Add '468' to each side of the equation. -468 + 468 + H = 0 + 468 Combine like terms: -468 + 468 = 0 0 + H = 0 + 468 H = 0 + 468 Combine like terms: 0 + 468 = 468 H = 468 Add '-1H' to each side of the equation. H + -1H = 468 + -1H Combine like terms: H + -1H = 0 0 = 468 + -1H Simplifying 0 = 468 + -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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