(4v-1)(6-v)=0

Solution for (4v-1)(6-v)=0 equation:

Simplifying
(4v + -1)(6 + -1v) = 0

Reorder the terms:
(-1 + 4v)(6 + -1v) = 0

Multiply (-1 + 4v) * (6 + -1v)
(-1(6 + -1v) + 4v * (6 + -1v)) = 0
((6 * -1 + -1v * -1) + 4v * (6 + -1v)) = 0
((-6 + 1v) + 4v * (6 + -1v)) = 0
(-6 + 1v + (6 * 4v + -1v * 4v)) = 0
(-6 + 1v + (24v + -4v2)) = 0

Combine like terms: 1v + 24v = 25v
(-6 + 25v + -4v2) = 0

Solving
-6 + 25v + -4v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-6 + v)(1 + -4v) = 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 '(1 + -4v)' equal to zero and attempt to solve:

Simplifying
1 + -4v = 0

Solving
1 + -4v = 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 + -4v = 0 + -1

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

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

Divide each side by '-4'.
v = 0.25

Simplifying
v = 0.25
Solution
v = {6, 0.25}