L^2+4L-140=0

Solution for L^2+4L-140=0 equation:

Simplifying
L2 + 4L + -140 = 0

Reorder the terms:
-140 + 4L + L2 = 0

Solving
-140 + 4L + L2 = 0

Solving for variable 'L'.

Factor a trinomial.
(-14 + -1L)(10 + -1L) = 0

Subproblem 1
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
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 = {-14, 10}