6v^2+3v+4=0

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Solution for 6v^2+3v+4=0 equation:


Simplifying
6v2 + 3v + 4 = 0

Reorder the terms:
4 + 3v + 6v2 = 0

Solving
4 + 3v + 6v2 = 0

Solving for variable 'v'.

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

Divide each side by '6'.
0.6666666667 + 0.5v + v2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + 0.5v + -0.6666666667 + v2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + 0.5v + v2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + 0.5v + v2 = 0 + -0.6666666667
0.5v + v2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
0.5v + v2 = -0.6666666667

The v term is 0.5v.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5v + 0.0625 + v2 = -0.6666666667 + 0.0625

Reorder the terms:
0.0625 + 0.5v + v2 = -0.6666666667 + 0.0625

Combine like terms: -0.6666666667 + 0.0625 = -0.6041666667
0.0625 + 0.5v + v2 = -0.6041666667

Factor a perfect square on the left side:
(v + 0.25)(v + 0.25) = -0.6041666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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