(5u-2)(8-u)=0

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Solution for (5u-2)(8-u)=0 equation: 


Simplifying
(5u + -2)(8 + -1u) = 0

Reorder the terms:
(-2 + 5u)(8 + -1u) = 0

Multiply (-2 + 5u) * (8 + -1u)
(-2(8 + -1u) + 5u * (8 + -1u)) = 0
((8 * -2 + -1u * -2) + 5u * (8 + -1u)) = 0
((-16 + 2u) + 5u * (8 + -1u)) = 0
(-16 + 2u + (8 * 5u + -1u * 5u)) = 0
(-16 + 2u + (40u + -5u2)) = 0

Combine like terms: 2u + 40u = 42u
(-16 + 42u + -5u2) = 0

Solving
-16 + 42u + -5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-8 + u)(2 + -5u) = 0


Subproblem 1
Set the factor '(-8 + u)' equal to zero and attempt to solve:

Simplifying
-8 + u = 0

Solving
-8 + u = 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 + u = 0 + 8

Combine like terms: -8 + 8 = 0
0 + u = 0 + 8
u = 0 + 8

Combine like terms: 0 + 8 = 8
u = 8

Simplifying
u = 8

Subproblem 2
Set the factor '(2 + -5u)' equal to zero and attempt to solve:

Simplifying
2 + -5u = 0

Solving
2 + -5u = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5u = 0 + -2
-5u = 0 + -2

Combine like terms: 0 + -2 = -2
-5u = -2

Divide each side by '-5'.
u = 0.4

Simplifying
u = 0.4
Solution
u = {8, 0.4}

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