10v^2+5v+6v+3=

Solution for 10v^2+5v+6v+3= equation:

Simplifying
10v2 + 5v + 6v + 3 = 0

Reorder the terms:
3 + 5v + 6v + 10v2 = 0

Combine like terms: 5v + 6v = 11v
3 + 11v + 10v2 = 0

Solving
3 + 11v + 10v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(3 + 5v)(1 + 2v) = 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 '(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 = {-0.6, -0.5}