-2v(v+1)=0

Solution for -2v(v+1)=0 equation:

Simplifying
-2v(v + 1) = 0

Reorder the terms:
-2v(1 + v) = 0
(1 * -2v + v * -2v) = 0
(-2v + -2v2) = 0

Solving
-2v + -2v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '-2v'.
-2v(1 + v) = 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 + v)' equal to zero and attempt to solve:

Simplifying
1 + v = 0

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

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

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

Simplifying
v = -1
Solution
v = {0, -1}