(v-6)(3v+8)=0

Solution for (v-6)(3v+8)=0 equation:

Simplifying
(v + -6)(3v + 8) = 0

Reorder the terms:
(-6 + v)(3v + 8) = 0

Reorder the terms:
(-6 + v)(8 + 3v) = 0

Multiply (-6 + v) * (8 + 3v)
(-6(8 + 3v) + v(8 + 3v)) = 0
((8 * -6 + 3v * -6) + v(8 + 3v)) = 0
((-48 + -18v) + v(8 + 3v)) = 0
(-48 + -18v + (8 * v + 3v * v)) = 0
(-48 + -18v + (8v + 3v2)) = 0

Combine like terms: -18v + 8v = -10v
(-48 + -10v + 3v2) = 0

Solving
-48 + -10v + 3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + -3v)(6 + -1v) = 0

Subproblem 1
Set the factor '(-8 + -3v)' equal to zero and attempt to solve:

Simplifying
-8 + -3v = 0

Solving
-8 + -3v = 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 + -3v = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3v = 0 + 8
-3v = 0 + 8

Combine like terms: 0 + 8 = 8
-3v = 8

Divide each side by '-3'.
v = -2.666666667

Simplifying
v = -2.666666667
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 = {-2.666666667, 6}