3v^2+4v+5=0

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Solution for 3v^2+4v+5=0 equation:


Simplifying
3v2 + 4v + 5 = 0

Reorder the terms:
5 + 4v + 3v2 = 0

Solving
5 + 4v + 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'.
1.666666667 + 1.333333333v + v2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + 1.333333333v + -1.666666667 + v2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + 1.333333333v + v2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + 1.333333333v + v2 = 0 + -1.666666667
1.333333333v + v2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
1.333333333v + v2 = -1.666666667

The v term is 1.333333333v.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333v + 0.4444444442 + v2 = -1.666666667 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333v + v2 = -1.666666667 + 0.4444444442

Combine like terms: -1.666666667 + 0.4444444442 = -1.2222222228
0.4444444442 + 1.333333333v + v2 = -1.2222222228

Factor a perfect square on the left side:
(v + 0.6666666665)(v + 0.6666666665) = -1.2222222228

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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