-7m[3(12-3m)+13]=9m

Solution for -7m[3(12-3m)+13]=9m equation:

Simplifying
-7m[3(12 + -3m) + 13] = 9m
-7m[(12 * 3 + -3m * 3) + 13] = 9m
-7m[(36 + -9m) + 13] = 9m

Reorder the terms:
-7m[36 + 13 + -9m] = 9m

Combine like terms: 36 + 13 = 49
-7m[49 + -9m] = 9m
[49 * -7m + -9m * -7m] = 9m
[-343m + 63m2] = 9m

Solving
-343m + 63m2 = 9m

Solving for variable 'm'.

Reorder the terms:
-343m + -9m + 63m2 = 9m + -9m

Combine like terms: -343m + -9m = -352m
-352m + 63m2 = 9m + -9m

Combine like terms: 9m + -9m = 0
-352m + 63m2 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-352 + 63m) = 0

Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0
Subproblem 2
Set the factor '(-352 + 63m)' equal to zero and attempt to solve:

Simplifying
-352 + 63m = 0

Solving
-352 + 63m = 0

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

Add '352' to each side of the equation.
-352 + 352 + 63m = 0 + 352

Combine like terms: -352 + 352 = 0
0 + 63m = 0 + 352
63m = 0 + 352

Combine like terms: 0 + 352 = 352
63m = 352

Divide each side by '63'.
m = 5.587301587

Simplifying
m = 5.587301587
Solution
m = {0, 5.587301587}