0=l^2+4l-572

Solution for 0=l^2+4l-572 equation:

Simplifying
0 = l2 + 4l + -572

Reorder the terms:
0 = -572 + 4l + l2

Solving
0 = -572 + 4l + l2

Solving for variable 'l'.

Combine like terms: 0 + 572 = 572
572 + -4l + -1l2 = -572 + 4l + l2 + 572 + -4l + -1l2

Reorder the terms:
572 + -4l + -1l2 = -572 + 572 + 4l + -4l + l2 + -1l2

Combine like terms: -572 + 572 = 0
572 + -4l + -1l2 = 0 + 4l + -4l + l2 + -1l2
572 + -4l + -1l2 = 4l + -4l + l2 + -1l2

Combine like terms: 4l + -4l = 0
572 + -4l + -1l2 = 0 + l2 + -1l2
572 + -4l + -1l2 = l2 + -1l2

Combine like terms: l2 + -1l2 = 0
572 + -4l + -1l2 = 0

Factor a trinomial.
(22 + -1l)(26 + l) = 0

Subproblem 1
Set the factor '(22 + -1l)' equal to zero and attempt to solve:

Simplifying
22 + -1l = 0

Solving
22 + -1l = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1l = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1l = 0 + -22
-1l = 0 + -22

Combine like terms: 0 + -22 = -22
-1l = -22

Divide each side by '-1'.
l = 22

Simplifying
l = 22
Subproblem 2
Set the factor '(26 + l)' equal to zero and attempt to solve:

Simplifying
26 + l = 0

Solving
26 + l = 0

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

Add '-26' to each side of the equation.
26 + -26 + l = 0 + -26

Combine like terms: 26 + -26 = 0
0 + l = 0 + -26
l = 0 + -26

Combine like terms: 0 + -26 = -26
l = -26

Simplifying
l = -26
Solution
l = {22, -26}