9v^2+9v=0

Solution for 9v^2+9v=0 equation:

Simplifying
9v2 + 9v = 0

Reorder the terms:
9v + 9v2 = 0

Solving
9v + 9v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '9v'.
9v(1 + v) = 0

Ignore the factor 9.
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}