-2v^2-v+12=-4v^2+6v

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Solution for -2v^2-v+12=-4v^2+6v equation: 


Simplifying
-2v2 + -1v + 12 = -4v2 + 6v

Reorder the terms:
12 + -1v + -2v2 = -4v2 + 6v

Reorder the terms:
12 + -1v + -2v2 = 6v + -4v2

Solving
12 + -1v + -2v2 = 6v + -4v2

Solving for variable 'v'.

Reorder the terms:
12 + -1v + -6v + -2v2 + 4v2 = 6v + -4v2 + -6v + 4v2

Combine like terms: -1v + -6v = -7v
12 + -7v + -2v2 + 4v2 = 6v + -4v2 + -6v + 4v2

Combine like terms: -2v2 + 4v2 = 2v2
12 + -7v + 2v2 = 6v + -4v2 + -6v + 4v2

Reorder the terms:
12 + -7v + 2v2 = 6v + -6v + -4v2 + 4v2

Combine like terms: 6v + -6v = 0
12 + -7v + 2v2 = 0 + -4v2 + 4v2
12 + -7v + 2v2 = -4v2 + 4v2

Combine like terms: -4v2 + 4v2 = 0
12 + -7v + 2v2 = 0

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

Divide each side by '2'.
6 + -3.5v + v2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -3.5v + -6 + v2 = 0 + -6

Reorder the terms:
6 + -6 + -3.5v + v2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -3.5v + v2 = 0 + -6
-3.5v + v2 = 0 + -6

Combine like terms: 0 + -6 = -6
-3.5v + v2 = -6

The v term is -3.5v.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5v + 3.0625 + v2 = -6 + 3.0625

Reorder the terms:
3.0625 + -3.5v + v2 = -6 + 3.0625

Combine like terms: -6 + 3.0625 = -2.9375
3.0625 + -3.5v + v2 = -2.9375

Factor a perfect square on the left side:
(v + -1.75)(v + -1.75) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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