14v^2+11v-3=0

Solution for 14v^2+11v-3=0 equation:

Simplifying
14v2 + 11v + -3 = 0

Reorder the terms:
-3 + 11v + 14v2 = 0

Solving
-3 + 11v + 14v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-1 + -1v)(3 + -14v) = 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 '(3 + -14v)' equal to zero and attempt to solve:

Simplifying
3 + -14v = 0

Solving
3 + -14v = 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 + -14v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -14v = 0 + -3
-14v = 0 + -3

Combine like terms: 0 + -3 = -3
-14v = -3

Divide each side by '-14'.
v = 0.2142857143

Simplifying
v = 0.2142857143
Solution
v = {-1, 0.2142857143}