0=5l^2-26l-63

Solution for 0=5l^2-26l-63 equation:

Simplifying
0 = 5l2 + -26l + -63

Reorder the terms:
0 = -63 + -26l + 5l2

Solving
0 = -63 + -26l + 5l2

Solving for variable 'l'.

Combine like terms: 0 + 63 = 63
63 + 26l + -5l2 = -63 + -26l + 5l2 + 63 + 26l + -5l2

Reorder the terms:
63 + 26l + -5l2 = -63 + 63 + -26l + 26l + 5l2 + -5l2

Combine like terms: -63 + 63 = 0
63 + 26l + -5l2 = 0 + -26l + 26l + 5l2 + -5l2
63 + 26l + -5l2 = -26l + 26l + 5l2 + -5l2

Combine like terms: -26l + 26l = 0
63 + 26l + -5l2 = 0 + 5l2 + -5l2
63 + 26l + -5l2 = 5l2 + -5l2

Combine like terms: 5l2 + -5l2 = 0
63 + 26l + -5l2 = 0

Factor a trinomial.
(7 + -1l)(9 + 5l) = 0

Subproblem 1
Set the factor '(7 + -1l)' equal to zero and attempt to solve:

Simplifying
7 + -1l = 0

Solving
7 + -1l = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1l = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1l = 0 + -7
-1l = 0 + -7

Combine like terms: 0 + -7 = -7
-1l = -7

Divide each side by '-1'.
l = 7

Simplifying
l = 7
Subproblem 2
Set the factor '(9 + 5l)' equal to zero and attempt to solve:

Simplifying
9 + 5l = 0

Solving
9 + 5l = 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 + 5l = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5l = 0 + -9
5l = 0 + -9

Combine like terms: 0 + -9 = -9
5l = -9

Divide each side by '5'.
l = -1.8

Simplifying
l = -1.8
Solution
l = {7, -1.8}