v^2-v+42=0

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

Simplifying
v2 + -1v + 42 = 0

Reorder the terms:
42 + -1v + v2 = 0

Solving
42 + -1v + 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 + -1v + -42 + v2 = 0 + -42

Reorder the terms:
42 + -42 + -1v + v2 = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -1v + v2 = 0 + -42
-1v + v2 = 0 + -42

Combine like terms: 0 + -42 = -42
-1v + v2 = -42

The v term is -1v.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1v + 0.25 + v2 = -42 + 0.25

Reorder the terms:
0.25 + -1v + v2 = -42 + 0.25

Combine like terms: -42 + 0.25 = -41.75
0.25 + -1v + v2 = -41.75

Factor a perfect square on the left side:
(v + -0.5)(v + -0.5) = -41.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.