3v^2+8v-24v+64=

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Solution for 3v^2+8v-24v+64= equation: 


Simplifying
3v2 + 8v + -24v + 64 = 0

Reorder the terms:
64 + 8v + -24v + 3v2 = 0

Combine like terms: 8v + -24v = -16v
64 + -16v + 3v2 = 0

Solving
64 + -16v + 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 + -5.333333333v + v2 = 0

Move the constant term to the right:

Add '-21.33333333' to each side of the equation.
21.33333333 + -5.333333333v + -21.33333333 + v2 = 0 + -21.33333333

Reorder the terms:
21.33333333 + -21.33333333 + -5.333333333v + v2 = 0 + -21.33333333

Combine like terms: 21.33333333 + -21.33333333 = 0.00000000
0.00000000 + -5.333333333v + v2 = 0 + -21.33333333
-5.333333333v + v2 = 0 + -21.33333333

Combine like terms: 0 + -21.33333333 = -21.33333333
-5.333333333v + v2 = -21.33333333

The v term is -5.333333333v.  Take half its coefficient (-2.666666667).
Square it (7.111111113) and add it to both sides.

Add '7.111111113' to each side of the equation.
-5.333333333v + 7.111111113 + v2 = -21.33333333 + 7.111111113

Reorder the terms:
7.111111113 + -5.333333333v + v2 = -21.33333333 + 7.111111113

Combine like terms: -21.33333333 + 7.111111113 = -14.222222217
7.111111113 + -5.333333333v + v2 = -14.222222217

Factor a perfect square on the left side:
(v + -2.666666667)(v + -2.666666667) = -14.222222217

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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