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

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

Simplifying
(2v + 3)(4v + 4) = 0

Reorder the terms:
(3 + 2v)(4v + 4) = 0

Reorder the terms:
(3 + 2v)(4 + 4v) = 0

Multiply (3 + 2v) * (4 + 4v)
(3(4 + 4v) + 2v * (4 + 4v)) = 0
((4 * 3 + 4v * 3) + 2v * (4 + 4v)) = 0
((12 + 12v) + 2v * (4 + 4v)) = 0
(12 + 12v + (4 * 2v + 4v * 2v)) = 0
(12 + 12v + (8v + 8v2)) = 0

Combine like terms: 12v + 8v = 20v
(12 + 20v + 8v2) = 0

Solving
12 + 20v + 8v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + 5v + 2v2) = 0

Factor a trinomial.
4((3 + 2v)(1 + v)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(3 + 2v)' equal to zero and attempt to solve:

Simplifying
3 + 2v = 0

Solving
3 + 2v = 0

Move all terms containing v to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + 2v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2v = 0 + -3
2v = 0 + -3

Combine like terms: 0 + -3 = -3
2v = -3

Divide each side by '2'.
v = -1.5

Simplifying
v = -1.5
Subproblem 2
Set the factor '(1 + v)' equal to zero and attempt to solve:

Simplifying
1 + v = 0

Solving
1 + v = 0

Move all terms containing v to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + v = 0 + -1
v = 0 + -1

Combine like terms: 0 + -1 = -1
v = -1

Simplifying
v = -1
Solution
v = {-1.5, -1}