40=l(14-l)

Solution for 40=l(14-l) equation:

Simplifying
40 = l(14 + -1l)
40 = (14 * l + -1l * l)
40 = (14l + -1l2)

Solving
40 = 14l + -1l2

Solving for variable 'l'.

Reorder the terms:
40 + -14l + l2 = 14l + -14l + -1l2 + l2

Combine like terms: 14l + -14l = 0
40 + -14l + l2 = 0 + -1l2 + l2
40 + -14l + l2 = -1l2 + l2

Combine like terms: -1l2 + l2 = 0
40 + -14l + l2 = 0

Factor a trinomial.
(4 + -1l)(10 + -1l) = 0

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

Simplifying
4 + -1l = 0

Solving
4 + -1l = 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 + -1l = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1l = 0 + -4
-1l = 0 + -4

Combine like terms: 0 + -4 = -4
-1l = -4

Divide each side by '-1'.
l = 4

Simplifying
l = 4
Subproblem 2
Set the factor '(10 + -1l)' equal to zero and attempt to solve:

Simplifying
10 + -1l = 0

Solving
10 + -1l = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1l = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1l = 0 + -10
-1l = 0 + -10

Combine like terms: 0 + -10 = -10
-1l = -10

Divide each side by '-1'.
l = 10

Simplifying
l = 10
Solution
l = {4, 10}