(4v-4)(v+6)=

Solution for (4v-4)(v+6)= equation:

Simplifying
(4v + -4)(v + 6) = 0

Reorder the terms:
(-4 + 4v)(v + 6) = 0

Reorder the terms:
(-4 + 4v)(6 + v) = 0

Multiply (-4 + 4v) * (6 + v)
(-4(6 + v) + 4v * (6 + v)) = 0
((6 * -4 + v * -4) + 4v * (6 + v)) = 0
((-24 + -4v) + 4v * (6 + v)) = 0
(-24 + -4v + (6 * 4v + v * 4v)) = 0
(-24 + -4v + (24v + 4v2)) = 0

Combine like terms: -4v + 24v = 20v
(-24 + 20v + 4v2) = 0

Solving
-24 + 20v + 4v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-6 + 5v + v2) = 0

Factor a trinomial.
4((-6 + -1v)(1 + -1v)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-6 + -1v)' equal to zero and attempt to solve:

Simplifying
-6 + -1v = 0

Solving
-6 + -1v = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1v = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1v = 0 + 6
-1v = 0 + 6

Combine like terms: 0 + 6 = 6
-1v = 6

Divide each side by '-1'.
v = -6

Simplifying
v = -6
Subproblem 2
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
Solution
v = {-6, 1}