6-7l=3l^2

Solution for 6-7l=3l^2 equation:

Simplifying
6 + -7l = 3l2

Solving
6 + -7l = 3l2

Solving for variable 'l'.

Combine like terms: 3l2 + -3l2 = 0
6 + -7l + -3l2 = 0

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

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

Simplifying
2 + -3l = 0

Solving
2 + -3l = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3l = 0 + -2

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

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

Divide each side by '-3'.
l = 0.6666666667

Simplifying
l = 0.6666666667
Subproblem 2
Set the factor '(3 + l)' equal to zero and attempt to solve:

Simplifying
3 + l = 0

Solving
3 + l = 0

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

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

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

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

Simplifying
l = -3
Solution
l = {0.6666666667, -3}