v^2+2v+46=7

Solution for v^2+2v+46=7 equation:

Simplifying
v2 + 2v + 46 = 7

Reorder the terms:
46 + 2v + v2 = 7

Solving
46 + 2v + v2 = 7

Solving for variable 'v'.

Reorder the terms:
46 + -7 + 2v + v2 = 7 + -7

Combine like terms: 46 + -7 = 39
39 + 2v + v2 = 7 + -7

Combine like terms: 7 + -7 = 0
39 + 2v + v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-39' to each side of the equation.
39 + 2v + -39 + v2 = 0 + -39

Reorder the terms:
39 + -39 + 2v + v2 = 0 + -39

Combine like terms: 39 + -39 = 0
0 + 2v + v2 = 0 + -39
2v + v2 = 0 + -39

Combine like terms: 0 + -39 = -39
2v + v2 = -39

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 = -39 + 1

Reorder the terms:
1 + 2v + v2 = -39 + 1

Combine like terms: -39 + 1 = -38
1 + 2v + v2 = -38

Factor a perfect square on the left side:
(v + 1)(v + 1) = -38

Can't calculate square root of the right side.

The solution to this equation could not be determined.