H(t)=-16t^2+56t

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Solution for H(t)=-16t^2+56t equation:


Simplifying
H(t) = -16t2 + 56t

Multiply H * t
tH = -16t2 + 56t

Reorder the terms:
tH = 56t + -16t2

Solving
tH = 56t + -16t2

Solving for variable 't'.

Reorder the terms:
-56t + tH + 16t2 = 56t + -16t2 + -56t + 16t2

Reorder the terms:
-56t + tH + 16t2 = 56t + -56t + -16t2 + 16t2

Combine like terms: 56t + -56t = 0
-56t + tH + 16t2 = 0 + -16t2 + 16t2
-56t + tH + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-56t + tH + 16t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-56 + H + 16t) = 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 '(-56 + H + 16t)' equal to zero and attempt to solve: Simplifying -56 + H + 16t = 0 Solving -56 + H + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '56' to each side of the equation. -56 + H + 56 + 16t = 0 + 56 Reorder the terms: -56 + 56 + H + 16t = 0 + 56 Combine like terms: -56 + 56 = 0 0 + H + 16t = 0 + 56 H + 16t = 0 + 56 Combine like terms: 0 + 56 = 56 H + 16t = 56 Add '-1H' to each side of the equation. H + -1H + 16t = 56 + -1H Combine like terms: H + -1H = 0 0 + 16t = 56 + -1H 16t = 56 + -1H Divide each side by '16'. t = 3.5 + -0.0625H Simplifying t = 3.5 + -0.0625H

Solution

t = {0, 3.5 + -0.0625H}

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