5*z^2-3=0

Solution for 5*z^2-3=0 equation:

Simplifying
5z2 + -3 = 0

Reorder the terms:
-3 + 5z2 = 0

Solving
-3 + 5z2 = 0

Solving for variable 'z'.

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

Add '3' to each side of the equation.
-3 + 3 + 5z2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5z2 = 0 + 3
5z2 = 0 + 3

Combine like terms: 0 + 3 = 3
5z2 = 3

Divide each side by '5'.
z2 = 0.6

Simplifying
z2 = 0.6

Take the square root of each side:
z = {-0.774596669, 0.774596669}