(6-v)(2v-3)=0

Solution for (6-v)(2v-3)=0 equation:

Simplifying
(6 + -1v)(2v + -3) = 0

Reorder the terms:
(6 + -1v)(-3 + 2v) = 0

Multiply (6 + -1v) * (-3 + 2v)
(6(-3 + 2v) + -1v * (-3 + 2v)) = 0
((-3 * 6 + 2v * 6) + -1v * (-3 + 2v)) = 0
((-18 + 12v) + -1v * (-3 + 2v)) = 0
(-18 + 12v + (-3 * -1v + 2v * -1v)) = 0
(-18 + 12v + (3v + -2v2)) = 0

Combine like terms: 12v + 3v = 15v
(-18 + 15v + -2v2) = 0

Solving
-18 + 15v + -2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-6 + v)(3 + -2v) = 0

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

Simplifying
-6 + v = 0

Solving
-6 + v = 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 + v = 0 + 6

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

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

Simplifying
v = 6
Subproblem 2
Set the factor '(3 + -2v)' equal to zero and attempt to solve:

Simplifying
3 + -2v = 0

Solving
3 + -2v = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2v = 0 + -3
-2v = 0 + -3

Combine like terms: 0 + -3 = -3
-2v = -3

Divide each side by '-2'.
v = 1.5

Simplifying
v = 1.5
Solution
v = {6, 1.5}