14v^2-13v+3=0

Solution for 14v^2-13v+3=0 equation:

Simplifying
14v2 + -13v + 3 = 0

Reorder the terms:
3 + -13v + 14v2 = 0

Solving
3 + -13v + 14v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(3 + -7v)(1 + -2v) = 0

Subproblem 1
Set the factor '(3 + -7v)' equal to zero and attempt to solve:

Simplifying
3 + -7v = 0

Solving
3 + -7v = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7v = 0 + -3
-7v = 0 + -3

Combine like terms: 0 + -3 = -3
-7v = -3

Divide each side by '-7'.
v = 0.4285714286

Simplifying
v = 0.4285714286
Subproblem 2
Set the factor '(1 + -2v)' equal to zero and attempt to solve:

Simplifying
1 + -2v = 0

Solving
1 + -2v = 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 + -2v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2v = 0 + -1
-2v = 0 + -1

Combine like terms: 0 + -1 = -1
-2v = -1

Divide each side by '-2'.
v = 0.5

Simplifying
v = 0.5
Solution
v = {0.4285714286, 0.5}