2v(1+5v)+2v^2=

Solution for 2v(1+5v)+2v^2= equation:

Simplifying
2v(1 + 5v) + 2v2 = 0
(1 * 2v + 5v * 2v) + 2v2 = 0
(2v + 10v2) + 2v2 = 0

Combine like terms: 10v2 + 2v2 = 12v2
2v + 12v2 = 0

Solving
2v + 12v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2v'.
2v(1 + 6v) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'v' equal to zero and attempt to solve:

Simplifying
v = 0

Solving
v = 0

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

Simplifying
v = 0
Subproblem 2
Set the factor '(1 + 6v)' equal to zero and attempt to solve:

Simplifying
1 + 6v = 0

Solving
1 + 6v = 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 + 6v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6v = 0 + -1
6v = 0 + -1

Combine like terms: 0 + -1 = -1
6v = -1

Divide each side by '6'.
v = -0.1666666667

Simplifying
v = -0.1666666667
Solution
v = {0, -0.1666666667}