v^2-4v+6=0

Solution for v^2-4v+6=0 equation:

Simplifying
v2 + -4v + 6 = 0

Reorder the terms:
6 + -4v + v2 = 0

Solving
6 + -4v + v2 = 0

Solving for variable 'v'.

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -4v + -6 + v2 = 0 + -6

Reorder the terms:
6 + -6 + -4v + v2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -4v + v2 = 0 + -6
-4v + v2 = 0 + -6

Combine like terms: 0 + -6 = -6
-4v + v2 = -6

The v term is -4v.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4v + 4 + v2 = -6 + 4

Reorder the terms:
4 + -4v + v2 = -6 + 4

Combine like terms: -6 + 4 = -2
4 + -4v + v2 = -2

Factor a perfect square on the left side:
(v + -2)(v + -2) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.