r^2+2rh-35h^2=

Solution for r^2+2rh-35h^2= equation:

Simplifying
r2 + 2rh + -35h2 = 0

Reorder the terms:
2hr + -35h2 + r2 = 0

Solving
2hr + -35h2 + r2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-7h + -1r)(5h + -1r) = 0

Subproblem 1
Set the factor '(-7h + -1r)' equal to zero and attempt to solve:

Simplifying
-7h + -1r = 0

Solving
-7h + -1r = 0

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

Add 'r' to each side of the equation.
-7h + -1r + r = 0 + r

Combine like terms: -1r + r = 0
-7h + 0 = 0 + r
-7h = 0 + r
Remove the zero:
-7h = r

Divide each side by '-7'.
h = -0.1428571429r

Simplifying
h = -0.1428571429r
Subproblem 2
Set the factor '(5h + -1r)' equal to zero and attempt to solve:

Simplifying
5h + -1r = 0

Solving
5h + -1r = 0

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

Add 'r' to each side of the equation.
5h + -1r + r = 0 + r

Combine like terms: -1r + r = 0
5h + 0 = 0 + r
5h = 0 + r
Remove the zero:
5h = r

Divide each side by '5'.
h = 0.2r

Simplifying
h = 0.2r
Solution
h = {-0.1428571429r, 0.2r}