3m^2+6=54

Solution for 3m^2+6=54 equation:

Simplifying
3m2 + 6 = 54

Reorder the terms:
6 + 3m2 = 54

Solving
6 + 3m2 = 54

Solving for variable 'm'.

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

Add '-6' to each side of the equation.
6 + -6 + 3m2 = 54 + -6

Combine like terms: 6 + -6 = 0
0 + 3m2 = 54 + -6
3m2 = 54 + -6

Combine like terms: 54 + -6 = 48
3m2 = 48

Divide each side by '3'.
m2 = 16

Simplifying
m2 = 16

Take the square root of each side:
m = {-4, 4}