v^2-2v+42=0

Solution for v^2-2v+42=0 equation:

Simplifying
v2 + -2v + 42 = 0

Reorder the terms:
42 + -2v + v2 = 0

Solving
42 + -2v + v2 = 0

Solving for variable 'v'.

Begin completing the square.

Move the constant term to the right:

Add '-42' to each side of the equation.
42 + -2v + -42 + v2 = 0 + -42

Reorder the terms:
42 + -42 + -2v + v2 = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -2v + v2 = 0 + -42
-2v + v2 = 0 + -42

Combine like terms: 0 + -42 = -42
-2v + v2 = -42

The v term is -2v.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2v + 1 + v2 = -42 + 1

Reorder the terms:
1 + -2v + v2 = -42 + 1

Combine like terms: -42 + 1 = -41
1 + -2v + v2 = -41

Factor a perfect square on the left side:
(v + -1)(v + -1) = -41

Can't calculate square root of the right side.

The solution to this equation could not be determined.