9v^2-55v+50=0

Solution for 9v^2-55v+50=0 equation:

Simplifying
9v2 + -55v + 50 = 0

Reorder the terms:
50 + -55v + 9v2 = 0

Solving
50 + -55v + 9v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(10 + -9v)(5 + -1v) = 0

Subproblem 1
Set the factor '(10 + -9v)' equal to zero and attempt to solve:

Simplifying
10 + -9v = 0

Solving
10 + -9v = 0

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

Add '-10' to each side of the equation.
10 + -10 + -9v = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -9v = 0 + -10
-9v = 0 + -10

Combine like terms: 0 + -10 = -10
-9v = -10

Divide each side by '-9'.
v = 1.111111111

Simplifying
v = 1.111111111
Subproblem 2
Set the factor '(5 + -1v)' equal to zero and attempt to solve:

Simplifying
5 + -1v = 0

Solving
5 + -1v = 0

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

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

Combine like terms: 5 + -5 = 0
0 + -1v = 0 + -5
-1v = 0 + -5

Combine like terms: 0 + -5 = -5
-1v = -5

Divide each side by '-1'.
v = 5

Simplifying
v = 5
Solution
v = {1.111111111, 5}