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

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

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

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

Multiply (-6 + 5u) * (2 + -1u)
(-6(2 + -1u) + 5u * (2 + -1u)) = 0
((2 * -6 + -1u * -6) + 5u * (2 + -1u)) = 0
((-12 + 6u) + 5u * (2 + -1u)) = 0
(-12 + 6u + (2 * 5u + -1u * 5u)) = 0
(-12 + 6u + (10u + -5u2)) = 0

Combine like terms: 6u + 10u = 16u
(-12 + 16u + -5u2) = 0

Solving
-12 + 16u + -5u2 = 0

Solving for variable 'u'.

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

Subproblem 1
Set the factor '(-2 + u)' equal to zero and attempt to solve:

Simplifying
-2 + u = 0

Solving
-2 + u = 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 + u = 0 + 2

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

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

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

Simplifying
6 + -5u = 0

Solving
6 + -5u = 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 + -5u = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5u = 0 + -6
-5u = 0 + -6

Combine like terms: 0 + -6 = -6
-5u = -6

Divide each side by '-5'.
u = 1.2

Simplifying
u = 1.2
Solution
u = {2, 1.2}