(u-3)(u+8)=

Solution for (u-3)(u+8)= equation:

Simplifying
(u + -3)(u + 8) = 0

Reorder the terms:
(-3 + u)(u + 8) = 0

Reorder the terms:
(-3 + u)(8 + u) = 0

Multiply (-3 + u) * (8 + u)
(-3(8 + u) + u(8 + u)) = 0
((8 * -3 + u * -3) + u(8 + u)) = 0
((-24 + -3u) + u(8 + u)) = 0
(-24 + -3u + (8 * u + u * u)) = 0
(-24 + -3u + (8u + u2)) = 0

Combine like terms: -3u + 8u = 5u
(-24 + 5u + u2) = 0

Solving
-24 + 5u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-8 + -1u)(3 + -1u) = 0

Subproblem 1
Set the factor '(-8 + -1u)' equal to zero and attempt to solve:

Simplifying
-8 + -1u = 0

Solving
-8 + -1u = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1u = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1u = 0 + 8
-1u = 0 + 8

Combine like terms: 0 + 8 = 8
-1u = 8

Divide each side by '-1'.
u = -8

Simplifying
u = -8
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 = {-8, 3}