12v^2=-5-3v

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Solution for 12v^2=-5-3v equation: 


Simplifying
12v2 = -5 + -3v

Solving
12v2 = -5 + -3v

Solving for variable 'v'.

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

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

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

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

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

Divide each side by '12'.
0.4166666667 + 0.25v + v2 = 0

Move the constant term to the right:

Add '-0.4166666667' to each side of the equation.
0.4166666667 + 0.25v + -0.4166666667 + v2 = 0 + -0.4166666667

Reorder the terms:
0.4166666667 + -0.4166666667 + 0.25v + v2 = 0 + -0.4166666667

Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000
0.0000000000 + 0.25v + v2 = 0 + -0.4166666667
0.25v + v2 = 0 + -0.4166666667

Combine like terms: 0 + -0.4166666667 = -0.4166666667
0.25v + v2 = -0.4166666667

The v term is 0.25v.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25v + 0.015625 + v2 = -0.4166666667 + 0.015625

Reorder the terms:
0.015625 + 0.25v + v2 = -0.4166666667 + 0.015625

Combine like terms: -0.4166666667 + 0.015625 = -0.4010416667
0.015625 + 0.25v + v2 = -0.4010416667

Factor a perfect square on the left side:
(v + 0.125)(v + 0.125) = -0.4010416667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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