v^2+6v+3=3

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

Simplifying
v2 + 6v + 3 = 3

Reorder the terms:
3 + 6v + v2 = 3

Add '-3' to each side of the equation.
3 + 6v + -3 + v2 = 3 + -3

Reorder the terms:
3 + -3 + 6v + v2 = 3 + -3

Combine like terms: 3 + -3 = 0
0 + 6v + v2 = 3 + -3
6v + v2 = 3 + -3

Combine like terms: 3 + -3 = 0
6v + v2 = 0

Solving
6v + v2 = 0

Solving for variable 'v'.

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

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 '(6 + v)' equal to zero and attempt to solve:

Simplifying
6 + v = 0

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

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

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

Simplifying
v = -6
Solution
v = {0, -6}