24+3v=-2v(4+2v)

Solution for 24+3v=-2v(4+2v) equation:

Simplifying
24 + 3v = -2v(4 + 2v)
24 + 3v = (4 * -2v + 2v * -2v)
24 + 3v = (-8v + -4v2)

Solving
24 + 3v = -8v + -4v2

Solving for variable 'v'.

Combine like terms: 3v + 8v = 11v
24 + 11v + 4v2 = -8v + -4v2 + 8v + 4v2

Reorder the terms:
24 + 11v + 4v2 = -8v + 8v + -4v2 + 4v2

Combine like terms: -8v + 8v = 0
24 + 11v + 4v2 = 0 + -4v2 + 4v2
24 + 11v + 4v2 = -4v2 + 4v2

Combine like terms: -4v2 + 4v2 = 0
24 + 11v + 4v2 = 0

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

Divide each side by '4'.
6 + 2.75v + v2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 2.75v + -6 + v2 = 0 + -6

Reorder the terms:
6 + -6 + 2.75v + v2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 2.75v + v2 = 0 + -6
2.75v + v2 = 0 + -6

Combine like terms: 0 + -6 = -6
2.75v + v2 = -6

The v term is 2.75v.  Take half its coefficient (1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
2.75v + 1.890625 + v2 = -6 + 1.890625

Reorder the terms:
1.890625 + 2.75v + v2 = -6 + 1.890625

Combine like terms: -6 + 1.890625 = -4.109375
1.890625 + 2.75v + v2 = -4.109375

Factor a perfect square on the left side:
(v + 1.375)(v + 1.375) = -4.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.