(3u-7)(8-u)=0

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Solution for (3u-7)(8-u)=0 equation: 


Simplifying
(3u + -7)(8 + -1u) = 0

Reorder the terms:
(-7 + 3u)(8 + -1u) = 0

Multiply (-7 + 3u) * (8 + -1u)
(-7(8 + -1u) + 3u * (8 + -1u)) = 0
((8 * -7 + -1u * -7) + 3u * (8 + -1u)) = 0
((-56 + 7u) + 3u * (8 + -1u)) = 0
(-56 + 7u + (8 * 3u + -1u * 3u)) = 0
(-56 + 7u + (24u + -3u2)) = 0

Combine like terms: 7u + 24u = 31u
(-56 + 31u + -3u2) = 0

Solving
-56 + 31u + -3u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-8 + u)(7 + -3u) = 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 '(7 + -3u)' equal to zero and attempt to solve:

Simplifying
7 + -3u = 0

Solving
7 + -3u = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3u = 0 + -7
-3u = 0 + -7

Combine like terms: 0 + -7 = -7
-3u = -7

Divide each side by '-3'.
u = 2.333333333

Simplifying
u = 2.333333333
Solution
u = {8, 2.333333333}

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