6u^2+u-12=0

Solution for 6u^2+u-12=0 equation:

Simplifying
6u2 + u + -12 = 0

Reorder the terms:
-12 + u + 6u2 = 0

Solving
-12 + u + 6u2 = 0

Solving for variable 'u'.

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

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

Simplifying
-3 + -2u = 0

Solving
-3 + -2u = 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 + -2u = 0 + 3

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

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

Divide each side by '-2'.
u = -1.5

Simplifying
u = -1.5
Subproblem 2
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
Solution
u = {-1.5, 1.333333333}