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

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


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

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

Multiply (7 + -1u) * (-8 + 3u)
(7(-8 + 3u) + -1u * (-8 + 3u)) = 0
((-8 * 7 + 3u * 7) + -1u * (-8 + 3u)) = 0
((-56 + 21u) + -1u * (-8 + 3u)) = 0
(-56 + 21u + (-8 * -1u + 3u * -1u)) = 0
(-56 + 21u + (8u + -3u2)) = 0

Combine like terms: 21u + 8u = 29u
(-56 + 29u + -3u2) = 0

Solving
-56 + 29u + -3u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-7 + u)(8 + -3u) = 0


Subproblem 1
Set the factor '(-7 + u)' equal to zero and attempt to solve:

Simplifying
-7 + u = 0

Solving
-7 + u = 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 + u = 0 + 7

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

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

Simplifying
u = 7

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 = {7, 2.666666667}

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