5z^2-1=0

Solution for 5z^2-1=0 equation:

Simplifying
5z2 + -1 = 0

Reorder the terms:
-1 + 5z2 = 0

Solving
-1 + 5z2 = 0

Solving for variable 'z'.

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

Add '1' to each side of the equation.
-1 + 1 + 5z2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5z2 = 0 + 1
5z2 = 0 + 1

Combine like terms: 0 + 1 = 1
5z2 = 1

Divide each side by '5'.
z2 = 0.2

Simplifying
z2 = 0.2

Take the square root of each side:
z = {-0.447213596, 0.447213596}