3v^2-8v-2v+64=

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Solution for 3v^2-8v-2v+64= equation:


Simplifying
3v2 + -8v + -2v + 64 = 0

Reorder the terms:
64 + -8v + -2v + 3v2 = 0

Combine like terms: -8v + -2v = -10v
64 + -10v + 3v2 = 0

Solving
64 + -10v + 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'.
21.33333333 + -3.333333333v + v2 = 0

Move the constant term to the right:

Add '-21.33333333' to each side of the equation.
21.33333333 + -3.333333333v + -21.33333333 + v2 = 0 + -21.33333333

Reorder the terms:
21.33333333 + -21.33333333 + -3.333333333v + v2 = 0 + -21.33333333

Combine like terms: 21.33333333 + -21.33333333 = 0.00000000
0.00000000 + -3.333333333v + v2 = 0 + -21.33333333
-3.333333333v + v2 = 0 + -21.33333333

Combine like terms: 0 + -21.33333333 = -21.33333333
-3.333333333v + v2 = -21.33333333

The v term is -3.333333333v.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333v + 2.777777779 + v2 = -21.33333333 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333v + v2 = -21.33333333 + 2.777777779

Combine like terms: -21.33333333 + 2.777777779 = -18.555555551
2.777777779 + -3.333333333v + v2 = -18.555555551

Factor a perfect square on the left side:
(v + -1.666666667)(v + -1.666666667) = -18.555555551

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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