4v^2-4v=-2

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

Simplifying
4v2 + -4v = -2

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

Solving
-4v + 4v2 = -2

Solving for variable 'v'.

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -2v + 2v2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -2v + 2v2)' equal to zero and attempt to solve:

Simplifying
1 + -2v + 2v2 = 0

Solving
1 + -2v + 2v2 = 0

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

Divide each side by '2'.
0.5 + -1v + v2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -1v + -0.5 + v2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -1v + v2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1v + v2 = 0 + -0.5
-1v + v2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-1v + v2 = -0.5

The v term is -1v.  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.
-1v + 0.25 + v2 = -0.5 + 0.25

Reorder the terms:
0.25 + -1v + v2 = -0.5 + 0.25

Combine like terms: -0.5 + 0.25 = -0.25
0.25 + -1v + 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.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.