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Simplifying H(t) = -16t + 500t Multiply H * t tH = -16t + 500t Combine like terms: -16t + 500t = 484t tH = 484t Solving tH = 484t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-484t' to each side of the equation. -484t + tH = 484t + -484t Combine like terms: 484t + -484t = 0 -484t + tH = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-484 + 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 '(-484 + H)' equal to zero and attempt to solve: Simplifying -484 + H = 0 Solving -484 + H = 0 Move all terms containing t to the left, all other terms to the right. Add '484' to each side of the equation. -484 + 484 + H = 0 + 484 Combine like terms: -484 + 484 = 0 0 + H = 0 + 484 H = 0 + 484 Combine like terms: 0 + 484 = 484 H = 484 Add '-1H' to each side of the equation. H + -1H = 484 + -1H Combine like terms: H + -1H = 0 0 = 484 + -1H Simplifying 0 = 484 + -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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