H(t)=t^3-12t^2+35t

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Solution for H(t)=t^3-12t^2+35t equation: 


Simplifying
H(t) = t3 + -12t2 + 35t

Multiply H * t
tH = t3 + -12t2 + 35t

Reorder the terms:
tH = 35t + -12t2 + t3

Solving
tH = 35t + -12t2 + t3

Solving for variable 't'.

Reorder the terms:
-35t + tH + 12t2 + -1t3 = 35t + -12t2 + t3 + -35t + 12t2 + -1t3

Reorder the terms:
-35t + tH + 12t2 + -1t3 = 35t + -35t + -12t2 + 12t2 + t3 + -1t3

Combine like terms: 35t + -35t = 0
-35t + tH + 12t2 + -1t3 = 0 + -12t2 + 12t2 + t3 + -1t3
-35t + tH + 12t2 + -1t3 = -12t2 + 12t2 + t3 + -1t3

Combine like terms: -12t2 + 12t2 = 0
-35t + tH + 12t2 + -1t3 = 0 + t3 + -1t3
-35t + tH + 12t2 + -1t3 = t3 + -1t3

Combine like terms: t3 + -1t3 = 0
-35t + tH + 12t2 + -1t3 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-35 + H + 12t + -1t2) = 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 '(-35 + H + 12t + -1t2)' equal to zero and attempt to solve:

Simplifying
-35 + H + 12t + -1t2 = 0

Solving
-35 + H + 12t + -1t2 = 0

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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