2m^2-9=55

Solution for 2m^2-9=55 equation:

Simplifying
2m2 + -9 = 55

Reorder the terms:
-9 + 2m2 = 55

Solving
-9 + 2m2 = 55

Solving for variable 'm'.

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

Add '9' to each side of the equation.
-9 + 9 + 2m2 = 55 + 9

Combine like terms: -9 + 9 = 0
0 + 2m2 = 55 + 9
2m2 = 55 + 9

Combine like terms: 55 + 9 = 64
2m2 = 64

Divide each side by '2'.
m2 = 32

Simplifying
m2 = 32

Take the square root of each side:
m = {-5.656854249, 5.656854249}