10m^2-48m=72

Solution for 10m^2-48m=72 equation:

Simplifying
10m2 + -48m = 72

Reorder the terms:
-48m + 10m2 = 72

Solving
-48m + 10m2 = 72

Solving for variable 'm'.

Reorder the terms:
-72 + -48m + 10m2 = 72 + -72

Combine like terms: 72 + -72 = 0
-72 + -48m + 10m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-36 + -24m + 5m2) = 0

Factor a trinomial.
2((-6 + -5m)(6 + -1m)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-6 + -5m)' equal to zero and attempt to solve:

Simplifying
-6 + -5m = 0

Solving
-6 + -5m = 0

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

Add '6' to each side of the equation.
-6 + 6 + -5m = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5m = 0 + 6
-5m = 0 + 6

Combine like terms: 0 + 6 = 6
-5m = 6

Divide each side by '-5'.
m = -1.2

Simplifying
m = -1.2
Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve:

Simplifying
6 + -1m = 0

Solving
6 + -1m = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1m = 0 + -6
-1m = 0 + -6

Combine like terms: 0 + -6 = -6
-1m = -6

Divide each side by '-1'.
m = 6

Simplifying
m = 6
Solution
m = {-1.2, 6}