v^2-3v+3=3

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

Simplifying
v2 + -3v + 3 = 3

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

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

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

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

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

Solving
-3v + v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), 'v'.
v(-3 + 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 '(-3 + v)' equal to zero and attempt to solve:

Simplifying
-3 + v = 0

Solving
-3 + v = 0

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

Add '3' to each side of the equation.
-3 + 3 + v = 0 + 3

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

Combine like terms: 0 + 3 = 3
v = 3

Simplifying
v = 3
Solution
v = {0, 3}