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

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

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

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

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

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

Combine like terms: -3v + -6v = -9v
(18 + -9v + v2) = 0

Solving
18 + -9v + v2 = 0

Solving for variable 'v'.

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

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

Simplifying
3 + -1v = 0

Solving
3 + -1v = 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 + -1v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1v = 0 + -3
-1v = 0 + -3

Combine like terms: 0 + -3 = -3
-1v = -3

Divide each side by '-1'.
v = 3

Simplifying
v = 3
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 = {3, 6}