(5-u)(5u+8)=0

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Solution for (5-u)(5u+8)=0 equation: 


Simplifying
(5 + -1u)(5u + 8) = 0

Reorder the terms:
(5 + -1u)(8 + 5u) = 0

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

Combine like terms: 25u + -8u = 17u
(40 + 17u + -5u2) = 0

Solving
40 + 17u + -5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(5 + -1u)(8 + 5u) = 0


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

Simplifying
5 + -1u = 0

Solving
5 + -1u = 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 + -1u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1u = 0 + -5
-1u = 0 + -5

Combine like terms: 0 + -5 = -5
-1u = -5

Divide each side by '-1'.
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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