3(m^2+4)=20m

Solution for 3(m^2+4)=20m equation:

Simplifying
3(m2 + 4) = 20m

Reorder the terms:
3(4 + m2) = 20m
(4 * 3 + m2 * 3) = 20m
(12 + 3m2) = 20m

Solving
12 + 3m2 = 20m

Solving for variable 'm'.

Reorder the terms:
12 + -20m + 3m2 = 20m + -20m

Combine like terms: 20m + -20m = 0
12 + -20m + 3m2 = 0

Factor a trinomial.
(2 + -3m)(6 + -1m) = 0

Subproblem 1
Set the factor '(2 + -3m)' equal to zero and attempt to solve:

Simplifying
2 + -3m = 0

Solving
2 + -3m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3m = 0 + -2
-3m = 0 + -2

Combine like terms: 0 + -2 = -2
-3m = -2

Divide each side by '-3'.
m = 0.6666666667

Simplifying
m = 0.6666666667
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 = {0.6666666667, 6}