H(t)=9t^2

Solution for H(t)=9t^2 equation:

Simplifying
H(t) = 9t2

Multiply H * t
tH = 9t2

Solving
tH = 9t2

Solving for variable 't'.

Combine like terms: 9t2 + -9t2 = 0
tH + -9t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(H + -9t) = 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 '(H + -9t)' equal to zero and attempt to solve:

Simplifying
H + -9t = 0

Solving
H + -9t = 0

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

Add '-1H' to each side of the equation.
H + -1H + -9t = 0 + -1H

Combine like terms: H + -1H = 0
0 + -9t = 0 + -1H
-9t = 0 + -1H
Remove the zero:
-9t = -1H

Divide each side by '-9'.
t = 0.1111111111H

Simplifying
t = 0.1111111111H
Solution
t = {0, 0.1111111111H}