2m^2+72=24m

Solution for 2m^2+72=24m equation:

Simplifying
2m2 + 72 = 24m

Reorder the terms:
72 + 2m2 = 24m

Solving
72 + 2m2 = 24m

Solving for variable 'm'.

Reorder the terms:
72 + -24m + 2m2 = 24m + -24m

Combine like terms: 24m + -24m = 0
72 + -24m + 2m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(36 + -12m + m2) = 0

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

Ignore the factor 2.
Subproblem 1
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
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 = {6, 6}