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

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


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

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

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

Combine like terms: -1u + 40u = 39u
(-8 + 39u + 5u2) = 0

Solving
-8 + 39u + 5u2 = 0

Solving for variable 'u'.

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

Simplifying
1 + -5u = 0

Solving
1 + -5u = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5u = 0 + -1

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

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

Divide each side by '-5'.
u = 0.2

Simplifying
u = 0.2
Solution
u = {-8, 0.2}

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