L^2+6L-160=0

Solution for L^2+6L-160=0 equation:

Simplifying
L2 + 6L + -160 = 0

Reorder the terms:
-160 + 6L + L2 = 0

Solving
-160 + 6L + L2 = 0

Solving for variable 'L'.

Factor a trinomial.
(-16 + -1L)(10 + -1L) = 0

Subproblem 1
Set the factor '(-16 + -1L)' equal to zero and attempt to solve:

Simplifying
-16 + -1L = 0

Solving
-16 + -1L = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1L = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1L = 0 + 16
-1L = 0 + 16

Combine like terms: 0 + 16 = 16
-1L = 16

Divide each side by '-1'.
L = -16

Simplifying
L = -16
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 = {-16, 10}