H(t)=-16t+1000t

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Solution for H(t)=-16t+1000t equation:


Simplifying
H(t) = -16t + 1000t

Multiply H * t
tH = -16t + 1000t

Combine like terms: -16t + 1000t = 984t
tH = 984t

Solving
tH = 984t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-984t' to each side of the equation.
-984t + tH = 984t + -984t

Combine like terms: 984t + -984t = 0
-984t + tH = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-984 + H) = 0

Subproblem 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 = 0

Subproblem 2

Set the factor '(-984 + H)' equal to zero and attempt to solve: Simplifying -984 + H = 0 Solving -984 + H = 0 Move all terms containing t to the left, all other terms to the right. Add '984' to each side of the equation. -984 + 984 + H = 0 + 984 Combine like terms: -984 + 984 = 0 0 + H = 0 + 984 H = 0 + 984 Combine like terms: 0 + 984 = 984 H = 984 Add '-1H' to each side of the equation. H + -1H = 984 + -1H Combine like terms: H + -1H = 0 0 = 984 + -1H Simplifying 0 = 984 + -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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