33u^2-u-14=

Solution for 33u^2-u-14= equation:

Simplifying
33u2 + -1u + -14 = 0

Reorder the terms:
-14 + -1u + 33u2 = 0

Solving
-14 + -1u + 33u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-7 + -11u)(2 + -3u) = 0

Subproblem 1
Set the factor '(-7 + -11u)' equal to zero and attempt to solve:

Simplifying
-7 + -11u = 0

Solving
-7 + -11u = 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 + -11u = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -11u = 0 + 7
-11u = 0 + 7

Combine like terms: 0 + 7 = 7
-11u = 7

Divide each side by '-11'.
u = -0.6363636364

Simplifying
u = -0.6363636364
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 = {-0.6363636364, 0.6666666667}