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

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


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

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

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