-2(u-3)(-u-5)=0

Solution for -2(u-3)(-u-5)=0 equation:

Simplifying
-2(u + -3)(-1u + -5) = 0

Reorder the terms:
-2(-3 + u)(-1u + -5) = 0

Reorder the terms:
-2(-3 + u)(-5 + -1u) = 0

Multiply (-3 + u) * (-5 + -1u)
-2(-3(-5 + -1u) + u(-5 + -1u)) = 0
-2((-5 * -3 + -1u * -3) + u(-5 + -1u)) = 0
-2((15 + 3u) + u(-5 + -1u)) = 0
-2(15 + 3u + (-5 * u + -1u * u)) = 0
-2(15 + 3u + (-5u + -1u2)) = 0

Combine like terms: 3u + -5u = -2u
-2(15 + -2u + -1u2) = 0
(15 * -2 + -2u * -2 + -1u2 * -2) = 0
(-30 + 4u + 2u2) = 0

Solving
-30 + 4u + 2u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + 2u + u2) = 0

Factor a trinomial.
2((-5 + -1u)(3 + -1u)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -1u)' equal to zero and attempt to solve:

Simplifying
-5 + -1u = 0

Solving
-5 + -1u = 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 + -1u = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1u = 0 + 5
-1u = 0 + 5

Combine like terms: 0 + 5 = 5
-1u = 5

Divide each side by '-1'.
u = -5

Simplifying
u = -5
Subproblem 2
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
Solution
u = {-5, 3}