3z^2-5=0

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

Simplifying
3z2 + -5 = 0

Reorder the terms:
-5 + 3z2 = 0

Solving
-5 + 3z2 = 0

Solving for variable 'z'.

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

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

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

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

Divide each side by '3'.
z2 = 1.666666667

Simplifying
z2 = 1.666666667

Take the square root of each side:
z = {-1.290994449, 1.290994449}