-3v^2-16v-24=0

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Solution for -3v^2-16v-24=0 equation: 


Simplifying
-3v2 + -16v + -24 = 0

Reorder the terms:
-24 + -16v + -3v2 = 0

Solving
-24 + -16v + -3v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(24 + 16v + 3v2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(24 + 16v + 3v2)' equal to zero and attempt to solve:

Simplifying
24 + 16v + 3v2 = 0

Solving
24 + 16v + 3v2 = 0

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

Divide each side by '3'.
8 + 5.333333333v + v2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + 5.333333333v + -8 + v2 = 0 + -8

Reorder the terms:
8 + -8 + 5.333333333v + v2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5.333333333v + v2 = 0 + -8
5.333333333v + v2 = 0 + -8

Combine like terms: 0 + -8 = -8
5.333333333v + v2 = -8

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 = -8 + 7.111111113

Reorder the terms:
7.111111113 + 5.333333333v + v2 = -8 + 7.111111113

Combine like terms: -8 + 7.111111113 = -0.888888887
7.111111113 + 5.333333333v + v2 = -0.888888887

Factor a perfect square on the left side:
(v + 2.666666667)(v + 2.666666667) = -0.888888887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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