(v-6)(v-4)=0

Solution for (v-6)(v-4)=0 equation:

Simplifying
(v + -6)(v + -4) = 0

Reorder the terms:
(-6 + v)(v + -4) = 0

Reorder the terms:
(-6 + v)(-4 + v) = 0

Multiply (-6 + v) * (-4 + v)
(-6(-4 + v) + v(-4 + v)) = 0
((-4 * -6 + v * -6) + v(-4 + v)) = 0
((24 + -6v) + v(-4 + v)) = 0
(24 + -6v + (-4 * v + v * v)) = 0
(24 + -6v + (-4v + v2)) = 0

Combine like terms: -6v + -4v = -10v
(24 + -10v + v2) = 0

Solving
24 + -10v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(4 + -1v)(6 + -1v) = 0

Subproblem 1
Set the factor '(4 + -1v)' equal to zero and attempt to solve:

Simplifying
4 + -1v = 0

Solving
4 + -1v = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1v = 0 + -4
-1v = 0 + -4

Combine like terms: 0 + -4 = -4
-1v = -4

Divide each side by '-1'.
v = 4

Simplifying
v = 4
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 = {4, 6}