(v+6)(v-2)=

Solution for (v+6)(v-2)= equation:

Simplifying
(v + 6)(v + -2) = 0

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

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

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

Combine like terms: 6v + -2v = 4v
(-12 + 4v + v2) = 0

Solving
-12 + 4v + v2 = 0

Solving for variable 'v'.

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

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 '(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 = {-6, 2}