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

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


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

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

Multiply (3 + u) * (-8 + 3u)
(3(-8 + 3u) + u(-8 + 3u)) = 0
((-8 * 3 + 3u * 3) + u(-8 + 3u)) = 0
((-24 + 9u) + u(-8 + 3u)) = 0
(-24 + 9u + (-8 * u + 3u * u)) = 0
(-24 + 9u + (-8u + 3u2)) = 0

Combine like terms: 9u + -8u = 1u
(-24 + 1u + 3u2) = 0

Solving
-24 + 1u + 3u2 = 0

Solving for variable 'u'.

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


Subproblem 1
Set the factor '(-3 + -1u)' equal to zero and attempt to solve:

Simplifying
-3 + -1u = 0

Solving
-3 + -1u = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1u = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1u = 0 + 3
-1u = 0 + 3

Combine like terms: 0 + 3 = 3
-1u = 3

Divide each side by '-1'.
u = -3

Simplifying
u = -3

Subproblem 2
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
Solution
u = {-3, 2.666666667}

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