4m^2-1=27

Solution for 4m^2-1=27 equation:

Simplifying
4m2 + -1 = 27

Reorder the terms:
-1 + 4m2 = 27

Solving
-1 + 4m2 = 27

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 + 4m2 = 27 + 1

Combine like terms: -1 + 1 = 0
0 + 4m2 = 27 + 1
4m2 = 27 + 1

Combine like terms: 27 + 1 = 28
4m2 = 28

Divide each side by '4'.
m2 = 7

Simplifying
m2 = 7

Take the square root of each side:
m = {-2.645751311, 2.645751311}