(2v-1)(v+6)=0

Solution for (2v-1)(v+6)=0 equation:

Simplifying
(2v + -1)(v + 6) = 0

Reorder the terms:
(-1 + 2v)(v + 6) = 0

Reorder the terms:
(-1 + 2v)(6 + v) = 0

Multiply (-1 + 2v) * (6 + v)
(-1(6 + v) + 2v * (6 + v)) = 0
((6 * -1 + v * -1) + 2v * (6 + v)) = 0
((-6 + -1v) + 2v * (6 + v)) = 0
(-6 + -1v + (6 * 2v + v * 2v)) = 0
(-6 + -1v + (12v + 2v2)) = 0

Combine like terms: -1v + 12v = 11v
(-6 + 11v + 2v2) = 0

Solving
-6 + 11v + 2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-6 + -1v)(1 + -2v) = 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 '(1 + -2v)' equal to zero and attempt to solve:

Simplifying
1 + -2v = 0

Solving
1 + -2v = 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 + -2v = 0 + -1

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

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

Divide each side by '-2'.
v = 0.5

Simplifying
v = 0.5
Solution
v = {-6, 0.5}