v^2+8v+22=0

Solution for v^2+8v+22=0 equation:

Simplifying
v2 + 8v + 22 = 0

Reorder the terms:
22 + 8v + v2 = 0

Solving
22 + 8v + v2 = 0

Solving for variable 'v'.

Begin completing the square.

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + 8v + -22 + v2 = 0 + -22

Reorder the terms:
22 + -22 + 8v + v2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 8v + v2 = 0 + -22
8v + v2 = 0 + -22

Combine like terms: 0 + -22 = -22
8v + v2 = -22

The v term is 8v.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8v + 16 + v2 = -22 + 16

Reorder the terms:
16 + 8v + v2 = -22 + 16

Combine like terms: -22 + 16 = -6
16 + 8v + v2 = -6

Factor a perfect square on the left side:
(v + 4)(v + 4) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.