-11u-6=3u^2

Solution for -11u-6=3u^2 equation:

Simplifying
-11u + -6 = 3u2

Reorder the terms:
-6 + -11u = 3u2

Solving
-6 + -11u = 3u2

Solving for variable 'u'.

Combine like terms: 3u2 + -3u2 = 0
-6 + -11u + -3u2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6 + 11u + 3u2) = 0

Factor a trinomial.
-1((3 + u)(2 + 3u)) = 0

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

Simplifying
3 + u = 0

Solving
3 + u = 0

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

Add '-3' to each side of the equation.
3 + -3 + u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + u = 0 + -3
u = 0 + -3

Combine like terms: 0 + -3 = -3
u = -3

Simplifying
u = -3
Subproblem 2
Set the factor '(2 + 3u)' equal to zero and attempt to solve:

Simplifying
2 + 3u = 0

Solving
2 + 3u = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3u = 0 + -2
3u = 0 + -2

Combine like terms: 0 + -2 = -2
3u = -2

Divide each side by '3'.
u = -0.6666666667

Simplifying
u = -0.6666666667
Solution
u = {-3, -0.6666666667}