5v^2+6-2v^2+v+7=

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Solution for 5v^2+6-2v^2+v+7= equation: 


Simplifying
5v2 + 6 + -2v2 + v + 7 = 0

Reorder the terms:
6 + 7 + v + 5v2 + -2v2 = 0

Combine like terms: 6 + 7 = 13
13 + v + 5v2 + -2v2 = 0

Combine like terms: 5v2 + -2v2 = 3v2
13 + v + 3v2 = 0

Solving
13 + v + 3v2 = 0

Solving for variable 'v'.

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

Divide each side by '3'.
4.333333333 + 0.3333333333v + v2 = 0

Move the constant term to the right:

Add '-4.333333333' to each side of the equation.
4.333333333 + 0.3333333333v + -4.333333333 + v2 = 0 + -4.333333333

Reorder the terms:
4.333333333 + -4.333333333 + 0.3333333333v + v2 = 0 + -4.333333333

Combine like terms: 4.333333333 + -4.333333333 = 0.000000000
0.000000000 + 0.3333333333v + v2 = 0 + -4.333333333
0.3333333333v + v2 = 0 + -4.333333333

Combine like terms: 0 + -4.333333333 = -4.333333333
0.3333333333v + v2 = -4.333333333

The v term is v.  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.
0.3333333333v + 0.25 + v2 = -4.333333333 + 0.25

Reorder the terms:
0.25 + 0.3333333333v + v2 = -4.333333333 + 0.25

Combine like terms: -4.333333333 + 0.25 = -4.083333333
0.25 + 0.3333333333v + v2 = -4.083333333

Factor a perfect square on the left side:
(v + 0.5)(v + 0.5) = -4.083333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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