v^2+2v+3=3

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

Simplifying
v2 + 2v + 3 = 3

Reorder the terms:
3 + 2v + v2 = 3

Add '-3' to each side of the equation.
3 + 2v + -3 + v2 = 3 + -3

Reorder the terms:
3 + -3 + 2v + v2 = 3 + -3

Combine like terms: 3 + -3 = 0
0 + 2v + v2 = 3 + -3
2v + v2 = 3 + -3

Combine like terms: 3 + -3 = 0
2v + v2 = 0

Solving
2v + v2 = 0

Solving for variable 'v'.

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

Simplifying
2 + v = 0

Solving
2 + v = 0

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

Add '-2' to each side of the equation.
2 + -2 + v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + v = 0 + -2
v = 0 + -2

Combine like terms: 0 + -2 = -2
v = -2

Simplifying
v = -2
Solution
v = {0, -2}