9m^2+144=78m

Solution for 9m^2+144=78m equation:

Simplifying
9m2 + 144 = 78m

Reorder the terms:
144 + 9m2 = 78m

Solving
144 + 9m2 = 78m

Solving for variable 'm'.

Reorder the terms:
144 + -78m + 9m2 = 78m + -78m

Combine like terms: 78m + -78m = 0
144 + -78m + 9m2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(48 + -26m + 3m2) = 0

Factor a trinomial.
3((8 + -3m)(6 + -1m)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(8 + -3m)' equal to zero and attempt to solve:

Simplifying
8 + -3m = 0

Solving
8 + -3m = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3m = 0 + -8
-3m = 0 + -8

Combine like terms: 0 + -8 = -8
-3m = -8

Divide each side by '-3'.
m = 2.666666667

Simplifying
m = 2.666666667
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 = {2.666666667, 6}