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

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

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

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

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

Combine like terms: 3u + -5u = -2u
(5 + -2u + -3u2) = 0

Solving
5 + -2u + -3u2 = 0

Solving for variable 'u'.

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

Subproblem 1
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
Subproblem 2
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
Solution
u = {1, -1.666666667}