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

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


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

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

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

Combine like terms: 8u + 21u = 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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