v^2+2v+45=-4

Solution for v^2+2v+45=-4 equation:

Simplifying
v2 + 2v + 45 = -4

Reorder the terms:
45 + 2v + v2 = -4

Solving
45 + 2v + v2 = -4

Solving for variable 'v'.

Reorder the terms:
45 + 4 + 2v + v2 = -4 + 4

Combine like terms: 45 + 4 = 49
49 + 2v + v2 = -4 + 4

Combine like terms: -4 + 4 = 0
49 + 2v + v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-49' to each side of the equation.
49 + 2v + -49 + v2 = 0 + -49

Reorder the terms:
49 + -49 + 2v + v2 = 0 + -49

Combine like terms: 49 + -49 = 0
0 + 2v + v2 = 0 + -49
2v + v2 = 0 + -49

Combine like terms: 0 + -49 = -49
2v + v2 = -49

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 = -49 + 1

Reorder the terms:
1 + 2v + v2 = -49 + 1

Combine like terms: -49 + 1 = -48
1 + 2v + v2 = -48

Factor a perfect square on the left side:
(v + 1)(v + 1) = -48

Can't calculate square root of the right side.

The solution to this equation could not be determined.