m^2(12m+4m)=5m

Solution for m^2(12m+4m)=5m equation:

Simplifying
m2(12m + 4m) = 5m

Combine like terms: 12m + 4m = 16m
m2(16m) = 5m

Remove parenthesis around (16m)
m2 * 16m = 5m

Reorder the terms for easier multiplication:
16m2 * m = 5m

Multiply m2 * m
16m3 = 5m

Solving
16m3 = 5m

Solving for variable 'm'.

Reorder the terms:
-5m + 16m3 = 5m + -5m

Combine like terms: 5m + -5m = 0
-5m + 16m3 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-5 + 16m2) = 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 '(-5 + 16m2)' equal to zero and attempt to solve:

Simplifying
-5 + 16m2 = 0

Solving
-5 + 16m2 = 0

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

Add '5' to each side of the equation.
-5 + 5 + 16m2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 16m2 = 0 + 5
16m2 = 0 + 5

Combine like terms: 0 + 5 = 5
16m2 = 5

Divide each side by '16'.
m2 = 0.3125

Simplifying
m2 = 0.3125

Take the square root of each side:
m = {-0.559016994, 0.559016994}
Solution
m = {0, -0.559016994, 0.559016994}