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

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


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

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

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