v^2-5v+9=3

Solution for v^2-5v+9=3 equation:

Simplifying
v2 + -5v + 9 = 3

Reorder the terms:
9 + -5v + v2 = 3

Solving
9 + -5v + v2 = 3

Solving for variable 'v'.

Reorder the terms:
9 + -3 + -5v + v2 = 3 + -3

Combine like terms: 9 + -3 = 6
6 + -5v + v2 = 3 + -3

Combine like terms: 3 + -3 = 0
6 + -5v + v2 = 0

Factor a trinomial.
(2 + -1v)(3 + -1v) = 0

Subproblem 1
Set the factor '(2 + -1v)' equal to zero and attempt to solve:

Simplifying
2 + -1v = 0

Solving
2 + -1v = 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 + -1v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1v = 0 + -2
-1v = 0 + -2

Combine like terms: 0 + -2 = -2
-1v = -2

Divide each side by '-1'.
v = 2

Simplifying
v = 2
Subproblem 2
Set the factor '(3 + -1v)' equal to zero and attempt to solve:

Simplifying
3 + -1v = 0

Solving
3 + -1v = 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 + -1v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1v = 0 + -3
-1v = 0 + -3

Combine like terms: 0 + -3 = -3
-1v = -3

Divide each side by '-1'.
v = 3

Simplifying
v = 3
Solution
v = {2, 3}