60=L(L-7)

Solution for 60=L(L-7) equation:

Simplifying
60 = L(L + -7)

Reorder the terms:
60 = L(-7 + L)
60 = (-7 * L + L * L)
60 = (-7L + L2)

Solving
60 = -7L + L2

Solving for variable 'L'.

Reorder the terms:
60 + 7L + -1L2 = -7L + 7L + L2 + -1L2

Combine like terms: -7L + 7L = 0
60 + 7L + -1L2 = 0 + L2 + -1L2
60 + 7L + -1L2 = L2 + -1L2

Combine like terms: L2 + -1L2 = 0
60 + 7L + -1L2 = 0

Factor a trinomial.
(12 + -1L)(5 + L) = 0

Subproblem 1
Set the factor '(12 + -1L)' equal to zero and attempt to solve:

Simplifying
12 + -1L = 0

Solving
12 + -1L = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1L = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1L = 0 + -12
-1L = 0 + -12

Combine like terms: 0 + -12 = -12
-1L = -12

Divide each side by '-1'.
L = 12

Simplifying
L = 12
Subproblem 2
Set the factor '(5 + L)' equal to zero and attempt to solve:

Simplifying
5 + L = 0

Solving
5 + L = 0

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

Add '-5' to each side of the equation.
5 + -5 + L = 0 + -5

Combine like terms: 5 + -5 = 0
0 + L = 0 + -5
L = 0 + -5

Combine like terms: 0 + -5 = -5
L = -5

Simplifying
L = -5
Solution
L = {12, -5}