r^2+5rh-36h^2=

Solution for r^2+5rh-36h^2= equation:

Simplifying
r2 + 5rh + -36h2 = 0

Reorder the terms:
5hr + -36h2 + r2 = 0

Solving
5hr + -36h2 + r2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-9h + -1r)(4h + -1r) = 0

Subproblem 1
Set the factor '(-9h + -1r)' equal to zero and attempt to solve:

Simplifying
-9h + -1r = 0

Solving
-9h + -1r = 0

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

Add 'r' to each side of the equation.
-9h + -1r + r = 0 + r

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

Divide each side by '-9'.
h = -0.1111111111r

Simplifying
h = -0.1111111111r
Subproblem 2
Set the factor '(4h + -1r)' equal to zero and attempt to solve:

Simplifying
4h + -1r = 0

Solving
4h + -1r = 0

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

Add 'r' to each side of the equation.
4h + -1r + r = 0 + r

Combine like terms: -1r + r = 0
4h + 0 = 0 + r
4h = 0 + r
Remove the zero:
4h = r

Divide each side by '4'.
h = 0.25r

Simplifying
h = 0.25r
Solution
h = {-0.1111111111r, 0.25r}