-2v^2-v+12=-3v^2+6

Solution for -2v^2-v+12=-3v^2+6 equation:

Simplifying
-2v2 + -1v + 12 = -3v2 + 6

Reorder the terms:
12 + -1v + -2v2 = -3v2 + 6

Reorder the terms:
12 + -1v + -2v2 = 6 + -3v2

Solving
12 + -1v + -2v2 = 6 + -3v2

Solving for variable 'v'.

Reorder the terms:
12 + -6 + -1v + -2v2 + 3v2 = 6 + -3v2 + -6 + 3v2

Combine like terms: 12 + -6 = 6
6 + -1v + -2v2 + 3v2 = 6 + -3v2 + -6 + 3v2

Combine like terms: -2v2 + 3v2 = 1v2
6 + -1v + 1v2 = 6 + -3v2 + -6 + 3v2

Reorder the terms:
6 + -1v + 1v2 = 6 + -6 + -3v2 + 3v2

Combine like terms: 6 + -6 = 0
6 + -1v + 1v2 = 0 + -3v2 + 3v2
6 + -1v + 1v2 = -3v2 + 3v2

Combine like terms: -3v2 + 3v2 = 0
6 + -1v + 1v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -1v + -6 + v2 = 0 + -6

Reorder the terms:
6 + -6 + -1v + v2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1v + v2 = 0 + -6
-1v + v2 = 0 + -6

Combine like terms: 0 + -6 = -6
-1v + v2 = -6

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 = -6 + 0.25

Reorder the terms:
0.25 + -1v + v2 = -6 + 0.25

Combine like terms: -6 + 0.25 = -5.75
0.25 + -1v + v2 = -5.75

Factor a perfect square on the left side:
(v + -0.5)(v + -0.5) = -5.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.