18=l(2l-5)

Solution for 18=l(2l-5) equation:

Simplifying
18 = l(2l + -5)

Reorder the terms:
18 = l(-5 + 2l)
18 = (-5 * l + 2l * l)
18 = (-5l + 2l2)

Solving
18 = -5l + 2l2

Solving for variable 'l'.

Reorder the terms:
18 + 5l + -2l2 = -5l + 5l + 2l2 + -2l2

Combine like terms: -5l + 5l = 0
18 + 5l + -2l2 = 0 + 2l2 + -2l2
18 + 5l + -2l2 = 2l2 + -2l2

Combine like terms: 2l2 + -2l2 = 0
18 + 5l + -2l2 = 0

Factor a trinomial.
(9 + -2l)(2 + l) = 0

Subproblem 1
Set the factor '(9 + -2l)' equal to zero and attempt to solve:

Simplifying
9 + -2l = 0

Solving
9 + -2l = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2l = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2l = 0 + -9
-2l = 0 + -9

Combine like terms: 0 + -9 = -9
-2l = -9

Divide each side by '-2'.
l = 4.5

Simplifying
l = 4.5
Subproblem 2
Set the factor '(2 + l)' equal to zero and attempt to solve:

Simplifying
2 + l = 0

Solving
2 + l = 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 + l = 0 + -2

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

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

Simplifying
l = -2
Solution
l = {4.5, -2}