5z^2-2=0

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

Simplifying
5z2 + -2 = 0

Reorder the terms:
-2 + 5z2 = 0

Solving
-2 + 5z2 = 0

Solving for variable 'z'.

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

Add '2' to each side of the equation.
-2 + 2 + 5z2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5z2 = 0 + 2
5z2 = 0 + 2

Combine like terms: 0 + 2 = 2
5z2 = 2

Divide each side by '5'.
z2 = 0.4

Simplifying
z2 = 0.4

Take the square root of each side:
z = {-0.632455532, 0.632455532}