3u^2-11u-14=0

Solution for 3u^2-11u-14=0 equation:

Simplifying
3u2 + -11u + -14 = 0

Reorder the terms:
-14 + -11u + 3u2 = 0

Solving
-14 + -11u + 3u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-1 + -1u)(14 + -3u) = 0

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

Simplifying
-1 + -1u = 0

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

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

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

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

Simplifying
u = -1
Subproblem 2
Set the factor '(14 + -3u)' equal to zero and attempt to solve:

Simplifying
14 + -3u = 0

Solving
14 + -3u = 0

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

Add '-14' to each side of the equation.
14 + -14 + -3u = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -3u = 0 + -14
-3u = 0 + -14

Combine like terms: 0 + -14 = -14
-3u = -14

Divide each side by '-3'.
u = 4.666666667

Simplifying
u = 4.666666667
Solution
u = {-1, 4.666666667}