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

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

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

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

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

Multiply (-4 + 2v) * (3 + 3v)
(-4(3 + 3v) + 2v * (3 + 3v)) = 0
((3 * -4 + 3v * -4) + 2v * (3 + 3v)) = 0
((-12 + -12v) + 2v * (3 + 3v)) = 0
(-12 + -12v + (3 * 2v + 3v * 2v)) = 0
(-12 + -12v + (6v + 6v2)) = 0

Combine like terms: -12v + 6v = -6v
(-12 + -6v + 6v2) = 0

Solving
-12 + -6v + 6v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-2 + -1v + v2) = 0

Factor a trinomial.
6((-1 + -1v)(2 + -1v)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-1 + -1v)' equal to zero and attempt to solve:

Simplifying
-1 + -1v = 0

Solving
-1 + -1v = 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 + -1v = 0 + 1

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

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

Divide each side by '-1'.
v = -1

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

Simplifying
2 + -1v = 0

Solving
2 + -1v = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1v = 0 + -2
-1v = 0 + -2

Combine like terms: 0 + -2 = -2
-1v = -2

Divide each side by '-1'.
v = 2

Simplifying
v = 2
Solution
v = {-1, 2}