H(t)=-5t^2+30t+12

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Solution for H(t)=-5t^2+30t+12 equation: 


Simplifying
H(t) = -5t2 + 30t + 12

Multiply H * t
tH = -5t2 + 30t + 12

Reorder the terms:
tH = 12 + 30t + -5t2

Solving
tH = 12 + 30t + -5t2

Solving for variable 't'.

Reorder the terms:
-12 + -30t + tH + 5t2 = 12 + 30t + -5t2 + -12 + -30t + 5t2

Reorder the terms:
-12 + -30t + tH + 5t2 = 12 + -12 + 30t + -30t + -5t2 + 5t2

Combine like terms: 12 + -12 = 0
-12 + -30t + tH + 5t2 = 0 + 30t + -30t + -5t2 + 5t2
-12 + -30t + tH + 5t2 = 30t + -30t + -5t2 + 5t2

Combine like terms: 30t + -30t = 0
-12 + -30t + tH + 5t2 = 0 + -5t2 + 5t2
-12 + -30t + tH + 5t2 = -5t2 + 5t2

Combine like terms: -5t2 + 5t2 = 0
-12 + -30t + tH + 5t2 = 0

The solution to this equation could not be determined.

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