-6u^2+11u=4

Solution for -6u^2+11u=4 equation:

Simplifying
-6u2 + 11u = 4

Reorder the terms:
11u + -6u2 = 4

Solving
11u + -6u2 = 4

Solving for variable 'u'.

Reorder the terms:
-4 + 11u + -6u2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 11u + -6u2 = 0

Factor a trinomial.
(-4 + 3u)(1 + -2u) = 0

Subproblem 1
Set the factor '(-4 + 3u)' equal to zero and attempt to solve:

Simplifying
-4 + 3u = 0

Solving
-4 + 3u = 0

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

Add '4' to each side of the equation.
-4 + 4 + 3u = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3u = 0 + 4
3u = 0 + 4

Combine like terms: 0 + 4 = 4
3u = 4

Divide each side by '3'.
u = 1.333333333

Simplifying
u = 1.333333333
Subproblem 2
Set the factor '(1 + -2u)' equal to zero and attempt to solve:

Simplifying
1 + -2u = 0

Solving
1 + -2u = 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 + -2u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2u = 0 + -1
-2u = 0 + -1

Combine like terms: 0 + -1 = -1
-2u = -1

Divide each side by '-2'.
u = 0.5

Simplifying
u = 0.5
Solution
u = {1.333333333, 0.5}