l^2+80l+1600=7225

Solution for l^2+80l+1600=7225 equation:

Simplifying
l2 + 80l + 1600 = 7225

Reorder the terms:
1600 + 80l + l2 = 7225

Solving
1600 + 80l + l2 = 7225

Solving for variable 'l'.

Reorder the terms:
1600 + -7225 + 80l + l2 = 7225 + -7225

Combine like terms: 1600 + -7225 = -5625
-5625 + 80l + l2 = 7225 + -7225

Combine like terms: 7225 + -7225 = 0
-5625 + 80l + l2 = 0

Factor a trinomial.
(-125 + -1l)(45 + -1l) = 0

Subproblem 1
Set the factor '(-125 + -1l)' equal to zero and attempt to solve:

Simplifying
-125 + -1l = 0

Solving
-125 + -1l = 0

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

Add '125' to each side of the equation.
-125 + 125 + -1l = 0 + 125

Combine like terms: -125 + 125 = 0
0 + -1l = 0 + 125
-1l = 0 + 125

Combine like terms: 0 + 125 = 125
-1l = 125

Divide each side by '-1'.
l = -125

Simplifying
l = -125
Subproblem 2
Set the factor '(45 + -1l)' equal to zero and attempt to solve:

Simplifying
45 + -1l = 0

Solving
45 + -1l = 0

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

Add '-45' to each side of the equation.
45 + -45 + -1l = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -1l = 0 + -45
-1l = 0 + -45

Combine like terms: 0 + -45 = -45
-1l = -45

Divide each side by '-1'.
l = 45

Simplifying
l = 45
Solution
l = {-125, 45}