3m^2-60m+192=0

Solution for 3m^2-60m+192=0 equation:

Simplifying
3m2 + -60m + 192 = 0

Reorder the terms:
192 + -60m + 3m2 = 0

Solving
192 + -60m + 3m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(64 + -20m + m2) = 0

Factor a trinomial.
3((4 + -1m)(16 + -1m)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(4 + -1m)' equal to zero and attempt to solve:

Simplifying
4 + -1m = 0

Solving
4 + -1m = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1m = 0 + -4
-1m = 0 + -4

Combine like terms: 0 + -4 = -4
-1m = -4

Divide each side by '-1'.
m = 4

Simplifying
m = 4
Subproblem 2
Set the factor '(16 + -1m)' equal to zero and attempt to solve:

Simplifying
16 + -1m = 0

Solving
16 + -1m = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1m = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1m = 0 + -16
-1m = 0 + -16

Combine like terms: 0 + -16 = -16
-1m = -16

Divide each side by '-1'.
m = 16

Simplifying
m = 16
Solution
m = {4, 16}