12v^2-4v=-11

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Solution for 12v^2-4v=-11 equation:


Simplifying
12v2 + -4v = -11

Reorder the terms:
-4v + 12v2 = -11

Solving
-4v + 12v2 = -11

Solving for variable 'v'.

Reorder the terms:
11 + -4v + 12v2 = -11 + 11

Combine like terms: -11 + 11 = 0
11 + -4v + 12v2 = 0

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

Divide each side by '12'.
0.9166666667 + -0.3333333333v + v2 = 0

Move the constant term to the right:

Add '-0.9166666667' to each side of the equation.
0.9166666667 + -0.3333333333v + -0.9166666667 + v2 = 0 + -0.9166666667

Reorder the terms:
0.9166666667 + -0.9166666667 + -0.3333333333v + v2 = 0 + -0.9166666667

Combine like terms: 0.9166666667 + -0.9166666667 = 0.0000000000
0.0000000000 + -0.3333333333v + v2 = 0 + -0.9166666667
-0.3333333333v + v2 = 0 + -0.9166666667

Combine like terms: 0 + -0.9166666667 = -0.9166666667
-0.3333333333v + v2 = -0.9166666667

The v term is -0.3333333333v.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333v + 0.02777777779 + v2 = -0.9166666667 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333v + v2 = -0.9166666667 + 0.02777777779

Combine like terms: -0.9166666667 + 0.02777777779 = -0.88888888891
0.02777777779 + -0.3333333333v + v2 = -0.88888888891

Factor a perfect square on the left side:
(v + -0.1666666667)(v + -0.1666666667) = -0.88888888891

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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