-2v^2+4v-1=3

Solution for -2v^2+4v-1=3 equation:

Simplifying
-2v2 + 4v + -1 = 3

Reorder the terms:
-1 + 4v + -2v2 = 3

Solving
-1 + 4v + -2v2 = 3

Solving for variable 'v'.

Reorder the terms:
-1 + -3 + 4v + -2v2 = 3 + -3

Combine like terms: -1 + -3 = -4
-4 + 4v + -2v2 = 3 + -3

Combine like terms: 3 + -3 = 0
-4 + 4v + -2v2 = 0

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

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

Simplifying
-2 + 2v + -1v2 = 0

Solving
-2 + 2v + -1v2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

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

Move the constant term to the right:

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

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

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

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

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 = -2 + 1

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

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

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

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.