(u-8)(u+6)=0

Solution for (u-8)(u+6)=0 equation:

Simplifying
(u + -8)(u + 6) = 0

Reorder the terms:
(-8 + u)(u + 6) = 0

Reorder the terms:
(-8 + u)(6 + u) = 0

Multiply (-8 + u) * (6 + u)
(-8(6 + u) + u(6 + u)) = 0
((6 * -8 + u * -8) + u(6 + u)) = 0
((-48 + -8u) + u(6 + u)) = 0
(-48 + -8u + (6 * u + u * u)) = 0
(-48 + -8u + (6u + u2)) = 0

Combine like terms: -8u + 6u = -2u
(-48 + -2u + u2) = 0

Solving
-48 + -2u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-6 + -1u)(8 + -1u) = 0

Subproblem 1
Set the factor '(-6 + -1u)' equal to zero and attempt to solve:

Simplifying
-6 + -1u = 0

Solving
-6 + -1u = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1u = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1u = 0 + 6
-1u = 0 + 6

Combine like terms: 0 + 6 = 6
-1u = 6

Divide each side by '-1'.
u = -6

Simplifying
u = -6
Subproblem 2
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
Solution
u = {-6, 8}