l^2+7l+6=300

Solution for l^2+7l+6=300 equation:

Simplifying
l2 + 7l + 6 = 300

Reorder the terms:
6 + 7l + l2 = 300

Solving
6 + 7l + l2 = 300

Solving for variable 'l'.

Reorder the terms:
6 + -300 + 7l + l2 = 300 + -300

Combine like terms: 6 + -300 = -294
-294 + 7l + l2 = 300 + -300

Combine like terms: 300 + -300 = 0
-294 + 7l + l2 = 0

Factor a trinomial.
(-21 + -1l)(14 + -1l) = 0

Subproblem 1
Set the factor '(-21 + -1l)' equal to zero and attempt to solve:

Simplifying
-21 + -1l = 0

Solving
-21 + -1l = 0

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

Add '21' to each side of the equation.
-21 + 21 + -1l = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -1l = 0 + 21
-1l = 0 + 21

Combine like terms: 0 + 21 = 21
-1l = 21

Divide each side by '-1'.
l = -21

Simplifying
l = -21
Subproblem 2
Set the factor '(14 + -1l)' equal to zero and attempt to solve:

Simplifying
14 + -1l = 0

Solving
14 + -1l = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1l = 0 + -14

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

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

Divide each side by '-1'.
l = 14

Simplifying
l = 14
Solution
l = {-21, 14}