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

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Solution for (8+u)(4u+7)=0 equation: 


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

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

Multiply (8 + u) * (7 + 4u)
(8(7 + 4u) + u(7 + 4u)) = 0
((7 * 8 + 4u * 8) + u(7 + 4u)) = 0
((56 + 32u) + u(7 + 4u)) = 0
(56 + 32u + (7 * u + 4u * u)) = 0
(56 + 32u + (7u + 4u2)) = 0

Combine like terms: 32u + 7u = 39u
(56 + 39u + 4u2) = 0

Solving
56 + 39u + 4u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(8 + u)(7 + 4u) = 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 + 4u)' equal to zero and attempt to solve:

Simplifying
7 + 4u = 0

Solving
7 + 4u = 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 + 4u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4u = 0 + -7
4u = 0 + -7

Combine like terms: 0 + -7 = -7
4u = -7

Divide each side by '4'.
u = -1.75

Simplifying
u = -1.75
Solution
u = {-8, -1.75}

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