v^2+4vp-45p^2=

Solution for v^2+4vp-45p^2= equation:

Simplifying
v2 + 4vp + -45p2 = 0

Reorder the terms:
4pv + -45p2 + v2 = 0

Solving
4pv + -45p2 + v2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-9p + -1v)(5p + -1v) = 0

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

Simplifying
-9p + -1v = 0

Solving
-9p + -1v = 0

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

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

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

Divide each side by '-9'.
p = -0.1111111111v

Simplifying
p = -0.1111111111v
Subproblem 2
Set the factor '(5p + -1v)' equal to zero and attempt to solve:

Simplifying
5p + -1v = 0

Solving
5p + -1v = 0

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

Add 'v' to each side of the equation.
5p + -1v + v = 0 + v

Combine like terms: -1v + v = 0
5p + 0 = 0 + v
5p = 0 + v
Remove the zero:
5p = v

Divide each side by '5'.
p = 0.2v

Simplifying
p = 0.2v
Solution
p = {-0.1111111111v, 0.2v}