5m^2-1=274

Solution for 5m^2-1=274 equation:

Simplifying
5m2 + -1 = 274

Reorder the terms:
-1 + 5m2 = 274

Solving
-1 + 5m2 = 274

Solving for variable 'm'.

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

Add '1' to each side of the equation.
-1 + 1 + 5m2 = 274 + 1

Combine like terms: -1 + 1 = 0
0 + 5m2 = 274 + 1
5m2 = 274 + 1

Combine like terms: 274 + 1 = 275
5m2 = 275

Divide each side by '5'.
m2 = 55

Simplifying
m2 = 55

Take the square root of each side:
m = {-7.416198487, 7.416198487}