v^2+5vp-36p^2=

Simple and best practice solution for v^2+5vp-36p^2= equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for v^2+5vp-36p^2= equation: 


Simplifying
v2 + 5vp + -36p2 = 0

Reorder the terms:
5pv + -36p2 + v2 = 0

Solving
5pv + -36p2 + v2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-9p + -1v)(4p + -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 '(4p + -1v)' equal to zero and attempt to solve:

Simplifying
4p + -1v = 0

Solving
4p + -1v = 0

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

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

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

Divide each side by '4'.
p = 0.25v

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

See similar equations:

| 5=m-(-12) | | 3m-4n=24 | | (p/8)=-3 | | 3(12x+1)=4x+9 | | 4r^2-16r-48=0 | | 16^1/2 | | v^2-11v+24= | | 1875u^10y^10/45u^2y^7 | | 5/5/1/2 | | c^2-5c+4= | | x=60t-16t^2 | | 7-2p=-15 | | 5n^2-21n-54=0 | | 7n^2-9n=0 | | 2(125+7)/3 | | t^2+12t+32= | | 7(26-5)+3=10 | | 3p-8=25 | | 61-7x=2x+17 | | 7a^2+66a+27=0 | | 0.001-4000/x^2 | | y=3.50+2.81x | | 5x-4=5(x-3)+11 | | 2n^2-2n-84=0 | | -21=m/3 | | 6a^2-600=0 | | -9/2y+4=-91/2 | | 2v^2+2v=0 | | 4/3z=12 | | 6a^7(9a-8)-(9a-8)= | | 3n^2-147=0 | | 12x/32 |

Equations solver categories