(3u-8)(2-u)=0

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Solution for (3u-8)(2-u)=0 equation: 


Simplifying
(3u + -8)(2 + -1u) = 0

Reorder the terms:
(-8 + 3u)(2 + -1u) = 0

Multiply (-8 + 3u) * (2 + -1u)
(-8(2 + -1u) + 3u * (2 + -1u)) = 0
((2 * -8 + -1u * -8) + 3u * (2 + -1u)) = 0
((-16 + 8u) + 3u * (2 + -1u)) = 0
(-16 + 8u + (2 * 3u + -1u * 3u)) = 0
(-16 + 8u + (6u + -3u2)) = 0

Combine like terms: 8u + 6u = 14u
(-16 + 14u + -3u2) = 0

Solving
-16 + 14u + -3u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-8 + 3u)(2 + -1u) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(2 + -1u)' equal to zero and attempt to solve:

Simplifying
2 + -1u = 0

Solving
2 + -1u = 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 + -1u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1u = 0 + -2
-1u = 0 + -2

Combine like terms: 0 + -2 = -2
-1u = -2

Divide each side by '-1'.
u = 2

Simplifying
u = 2
Solution
u = {2.666666667, 2}

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