(1[9+u]1)(1[3u-8]1)=0

Solution for (1[9+u]1)(1[3u-8]1)=0 equation:

Simplifying
(1[9 + u] * 1)(1[3u + -8] * 1) = 0

Reorder the terms for easier multiplication:
(1 * 1[9 + u])(1[3u + -8] * 1) = 0

Multiply 1 * 1
(1[9 + u])(1[3u + -8] * 1) = 0
([9 * 1 + u * 1])(1[3u + -8] * 1) = 0
([9 + 1u])(1[3u + -8] * 1) = 0

Reorder the terms:
(9 + 1u)(1[-8 + 3u] * 1) = 0

Reorder the terms for easier multiplication:
(9 + 1u)(1 * 1[-8 + 3u]) = 0

Multiply 1 * 1
(9 + 1u)(1[-8 + 3u]) = 0
(9 + 1u)([-8 * 1 + 3u * 1]) = 0
(9 + 1u)([-8 + 3u]) = 0

Multiply (9 + 1u) * (-8 + 3u)
(9(-8 + 3u) + 1u * (-8 + 3u)) = 0
((-8 * 9 + 3u * 9) + 1u * (-8 + 3u)) = 0
((-72 + 27u) + 1u * (-8 + 3u)) = 0
(-72 + 27u + (-8 * 1u + 3u * 1u)) = 0
(-72 + 27u + (-8u + 3u2)) = 0

Combine like terms: 27u + -8u = 19u
(-72 + 19u + 3u2) = 0

Solving
-72 + 19u + 3u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-9 + -1u)(8 + -3u) = 0

Subproblem 1
Set the factor '(-9 + -1u)' equal to zero and attempt to solve:

Simplifying
-9 + -1u = 0

Solving
-9 + -1u = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1u = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1u = 0 + 9
-1u = 0 + 9

Combine like terms: 0 + 9 = 9
-1u = 9

Divide each side by '-1'.
u = -9

Simplifying
u = -9
Subproblem 2
Set the factor '(8 + -3u)' equal to zero and attempt to solve:

Simplifying
8 + -3u = 0

Solving
8 + -3u = 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 + -3u = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3u = 0 + -8
-3u = 0 + -8

Combine like terms: 0 + -8 = -8
-3u = -8

Divide each side by '-3'.
u = 2.666666667

Simplifying
u = 2.666666667
Solution
u = {-9, 2.666666667}