9v^2-19v+10=0

Solution for 9v^2-19v+10=0 equation:

Simplifying
9v2 + -19v + 10 = 0

Reorder the terms:
10 + -19v + 9v2 = 0

Solving
10 + -19v + 9v2 = 0

Solving for variable 'v'.

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

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

Simplifying
1 + -1v = 0

Solving
1 + -1v = 0

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

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

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

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

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

Simplifying
v = 1
Subproblem 2
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
Solution
v = {1, 1.111111111}