v^2-5vg-36g^2=

Solution for v^2-5vg-36g^2= equation:

Simplifying
v2 + -5vg + -36g2 = 0

Reorder the terms:
-5gv + -36g2 + v2 = 0

Solving
-5gv + -36g2 + v2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-4g + -1v)(9g + -1v) = 0

Subproblem 1
Set the factor '(-4g + -1v)' equal to zero and attempt to solve:

Simplifying
-4g + -1v = 0

Solving
-4g + -1v = 0

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

Add 'v' to each side of the equation.
-4g + -1v + v = 0 + v

Combine like terms: -1v + v = 0
-4g + 0 = 0 + v
-4g = 0 + v
Remove the zero:
-4g = v

Divide each side by '-4'.
g = -0.25v

Simplifying
g = -0.25v
Subproblem 2
Set the factor '(9g + -1v)' equal to zero and attempt to solve:

Simplifying
9g + -1v = 0

Solving
9g + -1v = 0

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

Add 'v' to each side of the equation.
9g + -1v + v = 0 + v

Combine like terms: -1v + v = 0
9g + 0 = 0 + v
9g = 0 + v
Remove the zero:
9g = v

Divide each side by '9'.
g = 0.1111111111v

Simplifying
g = 0.1111111111v
Solution
g = {-0.25v, 0.1111111111v}