35v^2-37v-6=0

Solution for 35v^2-37v-6=0 equation:

Simplifying
35v2 + -37v + -6 = 0

Reorder the terms:
-6 + -37v + 35v2 = 0

Solving
-6 + -37v + 35v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-1 + -7v)(6 + -5v) = 0

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

Simplifying
-1 + -7v = 0

Solving
-1 + -7v = 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 + -7v = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -7v = 0 + 1
-7v = 0 + 1

Combine like terms: 0 + 1 = 1
-7v = 1

Divide each side by '-7'.
v = -0.1428571429

Simplifying
v = -0.1428571429
Subproblem 2
Set the factor '(6 + -5v)' equal to zero and attempt to solve:

Simplifying
6 + -5v = 0

Solving
6 + -5v = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5v = 0 + -6
-5v = 0 + -6

Combine like terms: 0 + -6 = -6
-5v = -6

Divide each side by '-5'.
v = 1.2

Simplifying
v = 1.2
Solution
v = {-0.1428571429, 1.2}