v+2=4+4v^2

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

Simplifying
v + 2 = 4 + 4v2

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

Solving
2 + v = 4 + 4v2

Solving for variable 'v'.

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

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

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

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

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

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
0.5 + -0.25v + v2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.25v + -0.5 + v2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.25v + v2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.25v + v2 = 0 + -0.5
-0.25v + v2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.25v + v2 = -0.5

The v term is v.  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.
-0.25v + 0.25 + v2 = -0.5 + 0.25

Reorder the terms:
0.25 + -0.25v + v2 = -0.5 + 0.25

Combine like terms: -0.5 + 0.25 = -0.25
0.25 + -0.25v + v2 = -0.25

Factor a perfect square on the left side:
(v + 0.5)(v + 0.5) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.