2u^2-9u-18u+81=

Solution for 2u^2-9u-18u+81= equation:

Simplifying
2u2 + -9u + -18u + 81 = 0

Reorder the terms:
81 + -9u + -18u + 2u2 = 0

Combine like terms: -9u + -18u = -27u
81 + -27u + 2u2 = 0

Solving
81 + -27u + 2u2 = 0

Solving for variable 'u'.

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

Subproblem 1
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
Subproblem 2
Set the factor '(9 + -1u)' equal to zero and attempt to solve:

Simplifying
9 + -1u = 0

Solving
9 + -1u = 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 + -1u = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1u = 0 + -9
-1u = 0 + -9

Combine like terms: 0 + -9 = -9
-1u = -9

Divide each side by '-1'.
u = 9

Simplifying
u = 9
Solution
u = {4.5, 9}