-35v^2+11v+6=0

Solution for -35v^2+11v+6=0 equation:

Simplifying
-35v2 + 11v + 6 = 0

Reorder the terms:
6 + 11v + -35v2 = 0

Solving
6 + 11v + -35v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(3 + -5v)(2 + 7v) = 0

Subproblem 1
Set the factor '(3 + -5v)' equal to zero and attempt to solve:

Simplifying
3 + -5v = 0

Solving
3 + -5v = 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 + -5v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5v = 0 + -3
-5v = 0 + -3

Combine like terms: 0 + -3 = -3
-5v = -3

Divide each side by '-5'.
v = 0.6

Simplifying
v = 0.6
Subproblem 2
Set the factor '(2 + 7v)' equal to zero and attempt to solve:

Simplifying
2 + 7v = 0

Solving
2 + 7v = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7v = 0 + -2
7v = 0 + -2

Combine like terms: 0 + -2 = -2
7v = -2

Divide each side by '7'.
v = -0.2857142857

Simplifying
v = -0.2857142857
Solution
v = {0.6, -0.2857142857}