(4u-5)(8+u)=0

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Solution for (4u-5)(8+u)=0 equation: 


Simplifying
(4u + -5)(8 + u) = 0

Reorder the terms:
(-5 + 4u)(8 + u) = 0

Multiply (-5 + 4u) * (8 + u)
(-5(8 + u) + 4u * (8 + u)) = 0
((8 * -5 + u * -5) + 4u * (8 + u)) = 0
((-40 + -5u) + 4u * (8 + u)) = 0
(-40 + -5u + (8 * 4u + u * 4u)) = 0
(-40 + -5u + (32u + 4u2)) = 0

Combine like terms: -5u + 32u = 27u
(-40 + 27u + 4u2) = 0

Solving
-40 + 27u + 4u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-8 + -1u)(5 + -4u) = 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 '(5 + -4u)' equal to zero and attempt to solve:

Simplifying
5 + -4u = 0

Solving
5 + -4u = 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 + -4u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4u = 0 + -5
-4u = 0 + -5

Combine like terms: 0 + -5 = -5
-4u = -5

Divide each side by '-4'.
u = 1.25

Simplifying
u = 1.25
Solution
u = {-8, 1.25}

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