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

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

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

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

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

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

Solving for variable 'v'.

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

Combine like terms: -1v + -6v = -7v
12 + -7v + 2v2 + 3v2 = 6v + -3v2 + -6v + 3v2

Combine like terms: 2v2 + 3v2 = 5v2
12 + -7v + 5v2 = 6v + -3v2 + -6v + 3v2

Reorder the terms:
12 + -7v + 5v2 = 6v + -6v + -3v2 + 3v2

Combine like terms: 6v + -6v = 0
12 + -7v + 5v2 = 0 + -3v2 + 3v2
12 + -7v + 5v2 = -3v2 + 3v2

Combine like terms: -3v2 + 3v2 = 0
12 + -7v + 5v2 = 0

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

Divide each side by '5'.
2.4 + -1.4v + v2 = 0

Move the constant term to the right:

Add '-2.4' to each side of the equation.
2.4 + -1.4v + -2.4 + v2 = 0 + -2.4

Reorder the terms:
2.4 + -2.4 + -1.4v + v2 = 0 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -1.4v + v2 = 0 + -2.4
-1.4v + v2 = 0 + -2.4

Combine like terms: 0 + -2.4 = -2.4
-1.4v + v2 = -2.4

The v term is -1.4v.  Take half its coefficient (-0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
-1.4v + 0.49 + v2 = -2.4 + 0.49

Reorder the terms:
0.49 + -1.4v + v2 = -2.4 + 0.49

Combine like terms: -2.4 + 0.49 = -1.91
0.49 + -1.4v + v2 = -1.91

Factor a perfect square on the left side:
(v + -0.7)(v + -0.7) = -1.91

Can't calculate square root of the right side.

The solution to this equation could not be determined.