(5v-2)(6-v)=0

Solution for (5v-2)(6-v)=0 equation:

Simplifying
(5v + -2)(6 + -1v) = 0

Reorder the terms:
(-2 + 5v)(6 + -1v) = 0

Multiply (-2 + 5v) * (6 + -1v)
(-2(6 + -1v) + 5v * (6 + -1v)) = 0
((6 * -2 + -1v * -2) + 5v * (6 + -1v)) = 0
((-12 + 2v) + 5v * (6 + -1v)) = 0
(-12 + 2v + (6 * 5v + -1v * 5v)) = 0
(-12 + 2v + (30v + -5v2)) = 0

Combine like terms: 2v + 30v = 32v
(-12 + 32v + -5v2) = 0

Solving
-12 + 32v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-6 + v)(2 + -5v) = 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 '(2 + -5v)' equal to zero and attempt to solve:

Simplifying
2 + -5v = 0

Solving
2 + -5v = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5v = 0 + -2
-5v = 0 + -2

Combine like terms: 0 + -2 = -2
-5v = -2

Divide each side by '-5'.
v = 0.4

Simplifying
v = 0.4
Solution
v = {6, 0.4}