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

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

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

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

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

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

Combine like terms: 3u + -1u = 2u
5(3 + 2u + -1u2) = 0
(3 * 5 + 2u * 5 + -1u2 * 5) = 0
(15 + 10u + -5u2) = 0

Solving
15 + 10u + -5u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '5'.
5(3 + 2u + -1u2) = 0

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

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

Simplifying
3 + -1u = 0

Solving
3 + -1u = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1u = 0 + -3
-1u = 0 + -3

Combine like terms: 0 + -3 = -3
-1u = -3

Divide each side by '-1'.
u = 3

Simplifying
u = 3
Subproblem 2
Set the factor '(1 + u)' equal to zero and attempt to solve:

Simplifying
1 + u = 0

Solving
1 + u = 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 + u = 0 + -1

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

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

Simplifying
u = -1
Solution
u = {3, -1}