3u^2+36u+33=

Solution for 3u^2+36u+33= equation:

Simplifying
3u2 + 36u + 33 = 0

Reorder the terms:
33 + 36u + 3u2 = 0

Solving
33 + 36u + 3u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '3'.
3(11 + 12u + u2) = 0

Factor a trinomial.
3((11 + u)(1 + u)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(11 + u)' equal to zero and attempt to solve:

Simplifying
11 + u = 0

Solving
11 + u = 0

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

Add '-11' to each side of the equation.
11 + -11 + u = 0 + -11

Combine like terms: 11 + -11 = 0
0 + u = 0 + -11
u = 0 + -11

Combine like terms: 0 + -11 = -11
u = -11

Simplifying
u = -11
Subproblem 2
Set the factor '(1 + u)' equal to zero and attempt to solve:

Simplifying
1 + u = 0

Solving
1 + u = 0

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

Add '-1' to each side of the equation.
1 + -1 + u = 0 + -1

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

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

Simplifying
u = -1
Solution
u = {-11, -1}