6l^2-5l-4=0

Solution for 6l^2-5l-4=0 equation:

Simplifying
6l2 + -5l + -4 = 0

Reorder the terms:
-4 + -5l + 6l2 = 0

Solving
-4 + -5l + 6l2 = 0

Solving for variable 'l'.

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

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

Simplifying
-1 + -2l = 0

Solving
-1 + -2l = 0

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

Add '1' to each side of the equation.
-1 + 1 + -2l = 0 + 1

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

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

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

Simplifying
l = -0.5
Subproblem 2
Set the factor '(4 + -3l)' equal to zero and attempt to solve:

Simplifying
4 + -3l = 0

Solving
4 + -3l = 0

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

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

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

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

Divide each side by '-3'.
l = 1.333333333

Simplifying
l = 1.333333333
Solution
l = {-0.5, 1.333333333}