(v-4)(v-1)=0

Solution for (v-4)(v-1)=0 equation:

Simplifying
(v + -4)(v + -1) = 0

Reorder the terms:
(-4 + v)(v + -1) = 0

Reorder the terms:
(-4 + v)(-1 + v) = 0

Multiply (-4 + v) * (-1 + v)
(-4(-1 + v) + v(-1 + v)) = 0
((-1 * -4 + v * -4) + v(-1 + v)) = 0
((4 + -4v) + v(-1 + v)) = 0
(4 + -4v + (-1 * v + v * v)) = 0
(4 + -4v + (-1v + v2)) = 0

Combine like terms: -4v + -1v = -5v
(4 + -5v + v2) = 0

Solving
4 + -5v + v2 = 0

Solving for variable 'v'.

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

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

Simplifying
1 + -1v = 0

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

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

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

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

Simplifying
v = 1
Subproblem 2
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
Solution
v = {1, 4}