v^2+2v=-33

Solution for v^2+2v=-33 equation:

Simplifying
v2 + 2v = -33

Reorder the terms:
2v + v2 = -33

Solving
2v + v2 = -33

Solving for variable 'v'.

Reorder the terms:
33 + 2v + v2 = -33 + 33

Combine like terms: -33 + 33 = 0
33 + 2v + v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-33' to each side of the equation.
33 + 2v + -33 + v2 = 0 + -33

Reorder the terms:
33 + -33 + 2v + v2 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 2v + v2 = 0 + -33
2v + v2 = 0 + -33

Combine like terms: 0 + -33 = -33
2v + v2 = -33

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 = -33 + 1

Reorder the terms:
1 + 2v + v2 = -33 + 1

Combine like terms: -33 + 1 = -32
1 + 2v + v2 = -32

Factor a perfect square on the left side:
(v + 1)(v + 1) = -32

Can't calculate square root of the right side.

The solution to this equation could not be determined.