(8-u)(2u+9)=0

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Solution for (8-u)(2u+9)=0 equation: 


Simplifying
(8 + -1u)(2u + 9) = 0

Reorder the terms:
(8 + -1u)(9 + 2u) = 0

Multiply (8 + -1u) * (9 + 2u)
(8(9 + 2u) + -1u * (9 + 2u)) = 0
((9 * 8 + 2u * 8) + -1u * (9 + 2u)) = 0
((72 + 16u) + -1u * (9 + 2u)) = 0
(72 + 16u + (9 * -1u + 2u * -1u)) = 0
(72 + 16u + (-9u + -2u2)) = 0

Combine like terms: 16u + -9u = 7u
(72 + 7u + -2u2) = 0

Solving
72 + 7u + -2u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(8 + -1u)(9 + 2u) = 0


Subproblem 1
Set the factor '(8 + -1u)' equal to zero and attempt to solve:

Simplifying
8 + -1u = 0

Solving
8 + -1u = 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 + -1u = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1u = 0 + -8
-1u = 0 + -8

Combine like terms: 0 + -8 = -8
-1u = -8

Divide each side by '-1'.
u = 8

Simplifying
u = 8

Subproblem 2
Set the factor '(9 + 2u)' equal to zero and attempt to solve:

Simplifying
9 + 2u = 0

Solving
9 + 2u = 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 + 2u = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2u = 0 + -9
2u = 0 + -9

Combine like terms: 0 + -9 = -9
2u = -9

Divide each side by '2'.
u = -4.5

Simplifying
u = -4.5
Solution
u = {8, -4.5}

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