(3u+7)(4+u)=0

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Solution for (3u+7)(4+u)=0 equation: 


Simplifying
(3u + 7)(4 + u) = 0

Reorder the terms:
(7 + 3u)(4 + u) = 0

Multiply (7 + 3u) * (4 + u)
(7(4 + u) + 3u * (4 + u)) = 0
((4 * 7 + u * 7) + 3u * (4 + u)) = 0
((28 + 7u) + 3u * (4 + u)) = 0
(28 + 7u + (4 * 3u + u * 3u)) = 0
(28 + 7u + (12u + 3u2)) = 0

Combine like terms: 7u + 12u = 19u
(28 + 19u + 3u2) = 0

Solving
28 + 19u + 3u2 = 0

Solving for variable 'u'.

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


Subproblem 1
Set the factor '(4 + u)' equal to zero and attempt to solve:

Simplifying
4 + u = 0

Solving
4 + u = 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 + u = 0 + -4

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

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

Simplifying
u = -4

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 = {-4, -2.333333333}

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