(1[8-u]1)(1[5u+4]1)=0

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Solution for (1[8-u]1)(1[5u+4]1)=0 equation: 


Simplifying
(1[8 + -1u] * 1)(1[5u + 4] * 1) = 0

Reorder the terms for easier multiplication:
(1 * 1[8 + -1u])(1[5u + 4] * 1) = 0

Multiply 1 * 1
(1[8 + -1u])(1[5u + 4] * 1) = 0
([8 * 1 + -1u * 1])(1[5u + 4] * 1) = 0
([8 + -1u])(1[5u + 4] * 1) = 0

Reorder the terms:
(8 + -1u)(1[4 + 5u] * 1) = 0

Reorder the terms for easier multiplication:
(8 + -1u)(1 * 1[4 + 5u]) = 0

Multiply 1 * 1
(8 + -1u)(1[4 + 5u]) = 0
(8 + -1u)([4 * 1 + 5u * 1]) = 0
(8 + -1u)([4 + 5u]) = 0

Multiply (8 + -1u) * (4 + 5u)
(8(4 + 5u) + -1u * (4 + 5u)) = 0
((4 * 8 + 5u * 8) + -1u * (4 + 5u)) = 0
((32 + 40u) + -1u * (4 + 5u)) = 0
(32 + 40u + (4 * -1u + 5u * -1u)) = 0
(32 + 40u + (-4u + -5u2)) = 0

Combine like terms: 40u + -4u = 36u
(32 + 36u + -5u2) = 0

Solving
32 + 36u + -5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(8 + -1u)(4 + 5u) = 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 '(4 + 5u)' equal to zero and attempt to solve:

Simplifying
4 + 5u = 0

Solving
4 + 5u = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5u = 0 + -4
5u = 0 + -4

Combine like terms: 0 + -4 = -4
5u = -4

Divide each side by '5'.
u = -0.8

Simplifying
u = -0.8
Solution
u = {8, -0.8}

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