m(12m+48)=60

Solution for m(12m+48)=60 equation:

Simplifying
m(12m + 48) = 60

Reorder the terms:
m(48 + 12m) = 60
(48 * m + 12m * m) = 60
(48m + 12m2) = 60

Solving
48m + 12m2 = 60

Solving for variable 'm'.

Reorder the terms:
-60 + 48m + 12m2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + 48m + 12m2 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(-5 + 4m + m2) = 0

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

Ignore the factor 12.
Subproblem 1
Set the factor '(-5 + -1m)' equal to zero and attempt to solve:

Simplifying
-5 + -1m = 0

Solving
-5 + -1m = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1m = 0 + 5
-1m = 0 + 5

Combine like terms: 0 + 5 = 5
-1m = 5

Divide each side by '-1'.
m = -5

Simplifying
m = -5
Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve:

Simplifying
1 + -1m = 0

Solving
1 + -1m = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1m = 0 + -1
-1m = 0 + -1

Combine like terms: 0 + -1 = -1
-1m = -1

Divide each side by '-1'.
m = 1

Simplifying
m = 1
Solution
m = {-5, 1}