(3u+8)(5-u)=0

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Solution for (3u+8)(5-u)=0 equation: 


Simplifying
(3u + 8)(5 + -1u) = 0

Reorder the terms:
(8 + 3u)(5 + -1u) = 0

Multiply (8 + 3u) * (5 + -1u)
(8(5 + -1u) + 3u * (5 + -1u)) = 0
((5 * 8 + -1u * 8) + 3u * (5 + -1u)) = 0
((40 + -8u) + 3u * (5 + -1u)) = 0
(40 + -8u + (5 * 3u + -1u * 3u)) = 0
(40 + -8u + (15u + -3u2)) = 0

Combine like terms: -8u + 15u = 7u
(40 + 7u + -3u2) = 0

Solving
40 + 7u + -3u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(5 + -1u)(8 + 3u) = 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 + 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 = {5, -2.666666667}

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