(u+8)(u-3)=

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

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

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

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

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

Combine like terms: 8u + -3u = 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}