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

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

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

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

Multiply (-2 + 5u) * (6 + -1u)
(-2(6 + -1u) + 5u * (6 + -1u)) = 0
((6 * -2 + -1u * -2) + 5u * (6 + -1u)) = 0
((-12 + 2u) + 5u * (6 + -1u)) = 0
(-12 + 2u + (6 * 5u + -1u * 5u)) = 0
(-12 + 2u + (30u + -5u2)) = 0

Combine like terms: 2u + 30u = 32u
(-12 + 32u + -5u2) = 0

Solving
-12 + 32u + -5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-6 + u)(2 + -5u) = 0

Subproblem 1
Set the factor '(-6 + u)' equal to zero and attempt to solve:

Simplifying
-6 + u = 0

Solving
-6 + u = 0

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

Add '6' to each side of the equation.
-6 + 6 + u = 0 + 6

Combine like terms: -6 + 6 = 0
0 + u = 0 + 6
u = 0 + 6

Combine like terms: 0 + 6 = 6
u = 6

Simplifying
u = 6
Subproblem 2
Set the factor '(2 + -5u)' equal to zero and attempt to solve:

Simplifying
2 + -5u = 0

Solving
2 + -5u = 0

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

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

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

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

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

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