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

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


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

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

Multiply (-2 + 3u) * (8 + u)
(-2(8 + u) + 3u * (8 + u)) = 0
((8 * -2 + u * -2) + 3u * (8 + u)) = 0
((-16 + -2u) + 3u * (8 + u)) = 0
(-16 + -2u + (8 * 3u + u * 3u)) = 0
(-16 + -2u + (24u + 3u2)) = 0

Combine like terms: -2u + 24u = 22u
(-16 + 22u + 3u2) = 0

Solving
-16 + 22u + 3u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-8 + -1u)(2 + -3u) = 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 '(2 + -3u)' equal to zero and attempt to solve:

Simplifying
2 + -3u = 0

Solving
2 + -3u = 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 + -3u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3u = 0 + -2
-3u = 0 + -2

Combine like terms: 0 + -2 = -2
-3u = -2

Divide each side by '-3'.
u = 0.6666666667

Simplifying
u = 0.6666666667
Solution
u = {-8, 0.6666666667}

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