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

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


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

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

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

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

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

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

Multiply (8 + 5u) * (5 + 1u)
(8(5 + 1u) + 5u * (5 + 1u)) = 0
((5 * 8 + 1u * 8) + 5u * (5 + 1u)) = 0
((40 + 8u) + 5u * (5 + 1u)) = 0
(40 + 8u + (5 * 5u + 1u * 5u)) = 0
(40 + 8u + (25u + 5u2)) = 0

Combine like terms: 8u + 25u = 33u
(40 + 33u + 5u2) = 0

Solving
40 + 33u + 5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(5 + u)(8 + 5u) = 0


Subproblem 1
Set the factor '(5 + u)' equal to zero and attempt to solve:

Simplifying
5 + u = 0

Solving
5 + u = 0

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

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

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

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

Simplifying
u = -5

Subproblem 2
Set the factor '(8 + 5u)' equal to zero and attempt to solve:

Simplifying
8 + 5u = 0

Solving
8 + 5u = 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 + 5u = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5u = 0 + -8
5u = 0 + -8

Combine like terms: 0 + -8 = -8
5u = -8

Divide each side by '5'.
u = -1.6

Simplifying
u = -1.6
Solution
u = {-5, -1.6}

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