H(t)=2+46.5t-3.5t^2

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Solution for H(t)=2+46.5t-3.5t^2 equation: 


Simplifying
H(t) = 2 + 46.5t + -3.5t2

Multiply H * t
tH = 2 + 46.5t + -3.5t2

Solving
tH = 2 + 46.5t + -3.5t2

Solving for variable 't'.

Reorder the terms:
-2 + -46.5t + tH + 3.5t2 = 2 + 46.5t + -3.5t2 + -2 + -46.5t + 3.5t2

Reorder the terms:
-2 + -46.5t + tH + 3.5t2 = 2 + -2 + 46.5t + -46.5t + -3.5t2 + 3.5t2

Combine like terms: 2 + -2 = 0
-2 + -46.5t + tH + 3.5t2 = 0 + 46.5t + -46.5t + -3.5t2 + 3.5t2
-2 + -46.5t + tH + 3.5t2 = 46.5t + -46.5t + -3.5t2 + 3.5t2

Combine like terms: 46.5t + -46.5t = 0.0
-2 + -46.5t + tH + 3.5t2 = 0.0 + -3.5t2 + 3.5t2
-2 + -46.5t + tH + 3.5t2 = -3.5t2 + 3.5t2

Combine like terms: -3.5t2 + 3.5t2 = 0.0
-2 + -46.5t + tH + 3.5t2 = 0.0

The solution to this equation could not be determined.

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