(v+8)(v-6)=0

Solution for (v+8)(v-6)=0 equation:

Simplifying
(v + 8)(v + -6) = 0

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

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

Multiply (8 + v) * (-6 + v)
(8(-6 + v) + v(-6 + v)) = 0
((-6 * 8 + v * 8) + v(-6 + v)) = 0
((-48 + 8v) + v(-6 + v)) = 0
(-48 + 8v + (-6 * v + v * v)) = 0
(-48 + 8v + (-6v + v2)) = 0

Combine like terms: 8v + -6v = 2v
(-48 + 2v + v2) = 0

Solving
-48 + 2v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + -1v)(6 + -1v) = 0

Subproblem 1
Set the factor '(-8 + -1v)' equal to zero and attempt to solve:

Simplifying
-8 + -1v = 0

Solving
-8 + -1v = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1v = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1v = 0 + 8
-1v = 0 + 8

Combine like terms: 0 + 8 = 8
-1v = 8

Divide each side by '-1'.
v = -8

Simplifying
v = -8
Subproblem 2
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
Solution
v = {-8, 6}