(3u+-5)(1+-1u)=0

Solution for (3u+-5)(1+-1u)=0 equation:

Simplifying
(3u + -5)(1 + -1u) = 0

Reorder the terms:
(-5 + 3u)(1 + -1u) = 0

Multiply (-5 + 3u) * (1 + -1u)
(-5(1 + -1u) + 3u * (1 + -1u)) = 0
((1 * -5 + -1u * -5) + 3u * (1 + -1u)) = 0
((-5 + 5u) + 3u * (1 + -1u)) = 0
(-5 + 5u + (1 * 3u + -1u * 3u)) = 0
(-5 + 5u + (3u + -3u2)) = 0

Combine like terms: 5u + 3u = 8u
(-5 + 8u + -3u2) = 0

Solving
-5 + 8u + -3u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-5 + 3u)(1 + -1u) = 0

Subproblem 1
Set the factor '(-5 + 3u)' equal to zero and attempt to solve:

Simplifying
-5 + 3u = 0

Solving
-5 + 3u = 0

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

Add '5' to each side of the equation.
-5 + 5 + 3u = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3u = 0 + 5
3u = 0 + 5

Combine like terms: 0 + 5 = 5
3u = 5

Divide each side by '3'.
u = 1.666666667

Simplifying
u = 1.666666667
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 = {1.666666667, 1}