(8+u)(4u+9)=0

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Solution for (8+u)(4u+9)=0 equation: 


Simplifying
(8 + u)(4u + 9) = 0

Reorder the terms:
(8 + u)(9 + 4u) = 0

Multiply (8 + u) * (9 + 4u)
(8(9 + 4u) + u(9 + 4u)) = 0
((9 * 8 + 4u * 8) + u(9 + 4u)) = 0
((72 + 32u) + u(9 + 4u)) = 0
(72 + 32u + (9 * u + 4u * u)) = 0
(72 + 32u + (9u + 4u2)) = 0

Combine like terms: 32u + 9u = 41u
(72 + 41u + 4u2) = 0

Solving
72 + 41u + 4u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(8 + u)(9 + 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 '(9 + 4u)' equal to zero and attempt to solve:

Simplifying
9 + 4u = 0

Solving
9 + 4u = 0

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

Add '-9' to each side of the equation.
9 + -9 + 4u = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4u = 0 + -9
4u = 0 + -9

Combine like terms: 0 + -9 = -9
4u = -9

Divide each side by '4'.
u = -2.25

Simplifying
u = -2.25
Solution
u = {-8, -2.25}

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