(5u-6)(1-u)=0

Solution for (5u-6)(1-u)=0 equation:

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

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

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

Combine like terms: 6u + 5u = 11u
(-6 + 11u + -5u2) = 0

Solving
-6 + 11u + -5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-6 + 5u)(1 + -1u) = 0

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

Simplifying
1 + -1u = 0

Solving
1 + -1u = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1u = 0 + -1

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

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

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

Simplifying
u = 1
Solution
u = {1.2, 1}