2v^2=2v-6

Solution for 2v^2=2v-6 equation:

Simplifying
2v2 = 2v + -6

Reorder the terms:
2v2 = -6 + 2v

Solving
2v2 = -6 + 2v

Solving for variable 'v'.

Reorder the terms:
6 + -2v + 2v2 = -6 + 2v + 6 + -2v

Reorder the terms:
6 + -2v + 2v2 = -6 + 6 + 2v + -2v

Combine like terms: -6 + 6 = 0
6 + -2v + 2v2 = 0 + 2v + -2v
6 + -2v + 2v2 = 2v + -2v

Combine like terms: 2v + -2v = 0
6 + -2v + 2v2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -1v + v2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -1v + v2)' equal to zero and attempt to solve:

Simplifying
3 + -1v + v2 = 0

Solving
3 + -1v + v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -1v + -3 + v2 = 0 + -3

Reorder the terms:
3 + -3 + -1v + v2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1v + v2 = 0 + -3
-1v + v2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1v + v2 = -3

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 = -3 + 0.25

Reorder the terms:
0.25 + -1v + v2 = -3 + 0.25

Combine like terms: -3 + 0.25 = -2.75
0.25 + -1v + v2 = -2.75

Factor a perfect square on the left side:
(v + -0.5)(v + -0.5) = -2.75

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.