t^2+7th-18h^2=0

Solution for t^2+7th-18h^2=0 equation:

Simplifying
t2 + 7th + -18h2 = 0

Reorder the terms:
7ht + -18h2 + t2 = 0

Solving
7ht + -18h2 + t2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-9h + -1t)(2h + -1t) = 0

Subproblem 1
Set the factor '(-9h + -1t)' equal to zero and attempt to solve:

Simplifying
-9h + -1t = 0

Solving
-9h + -1t = 0

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

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

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

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

Simplifying
h = -0.1111111111t
Subproblem 2
Set the factor '(2h + -1t)' equal to zero and attempt to solve:

Simplifying
2h + -1t = 0

Solving
2h + -1t = 0

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

Add 't' to each side of the equation.
2h + -1t + t = 0 + t

Combine like terms: -1t + t = 0
2h + 0 = 0 + t
2h = 0 + t
Remove the zero:
2h = t

Divide each side by '2'.
h = 0.5t

Simplifying
h = 0.5t
Solution
h = {-0.1111111111t, 0.5t}