6u^2-11u-21=0

Solution for 6u^2-11u-21=0 equation:

Simplifying
6u2 + -11u + -21 = 0

Reorder the terms:
-21 + -11u + 6u2 = 0

Solving
-21 + -11u + 6u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-7 + -6u)(3 + -1u) = 0

Subproblem 1
Set the factor '(-7 + -6u)' equal to zero and attempt to solve:

Simplifying
-7 + -6u = 0

Solving
-7 + -6u = 0

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

Add '7' to each side of the equation.
-7 + 7 + -6u = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -6u = 0 + 7
-6u = 0 + 7

Combine like terms: 0 + 7 = 7
-6u = 7

Divide each side by '-6'.
u = -1.166666667

Simplifying
u = -1.166666667
Subproblem 2
Set the factor '(3 + -1u)' equal to zero and attempt to solve:

Simplifying
3 + -1u = 0

Solving
3 + -1u = 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 + -1u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1u = 0 + -3
-1u = 0 + -3

Combine like terms: 0 + -3 = -3
-1u = -3

Divide each side by '-1'.
u = 3

Simplifying
u = 3
Solution
u = {-1.166666667, 3}