4m^2-196=0

Solution for 4m^2-196=0 equation:

Simplifying
4m2 + -196 = 0

Reorder the terms:
-196 + 4m2 = 0

Solving
-196 + 4m2 = 0

Solving for variable 'm'.

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

Add '196' to each side of the equation.
-196 + 196 + 4m2 = 0 + 196

Combine like terms: -196 + 196 = 0
0 + 4m2 = 0 + 196
4m2 = 0 + 196

Combine like terms: 0 + 196 = 196
4m2 = 196

Divide each side by '4'.
m2 = 49

Simplifying
m2 = 49

Take the square root of each side:
m = {-7, 7}