2m^2+49-9=72

Solution for 2m^2+49-9=72 equation:

Simplifying
2m2 + 49 + -9 = 72

Reorder the terms:
49 + -9 + 2m2 = 72

Combine like terms: 49 + -9 = 40
40 + 2m2 = 72

Solving
40 + 2m2 = 72

Solving for variable 'm'.

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

Add '-40' to each side of the equation.
40 + -40 + 2m2 = 72 + -40

Combine like terms: 40 + -40 = 0
0 + 2m2 = 72 + -40
2m2 = 72 + -40

Combine like terms: 72 + -40 = 32
2m2 = 32

Divide each side by '2'.
m2 = 16

Simplifying
m2 = 16

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