(3u-4)(8+u)=0

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Solution for (3u-4)(8+u)=0 equation: 


Simplifying
(3u + -4)(8 + u) = 0

Reorder the terms:
(-4 + 3u)(8 + u) = 0

Multiply (-4 + 3u) * (8 + u)
(-4(8 + u) + 3u * (8 + u)) = 0
((8 * -4 + u * -4) + 3u * (8 + u)) = 0
((-32 + -4u) + 3u * (8 + u)) = 0
(-32 + -4u + (8 * 3u + u * 3u)) = 0
(-32 + -4u + (24u + 3u2)) = 0

Combine like terms: -4u + 24u = 20u
(-32 + 20u + 3u2) = 0

Solving
-32 + 20u + 3u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-8 + -1u)(4 + -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 '(4 + -3u)' equal to zero and attempt to solve:

Simplifying
4 + -3u = 0

Solving
4 + -3u = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3u = 0 + -4
-3u = 0 + -4

Combine like terms: 0 + -4 = -4
-3u = -4

Divide each side by '-3'.
u = 1.333333333

Simplifying
u = 1.333333333
Solution
u = {-8, 1.333333333}

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