3z^2-57=0

Solution for 3z^2-57=0 equation:

Simplifying
3z2 + -57 = 0

Reorder the terms:
-57 + 3z2 = 0

Solving
-57 + 3z2 = 0

Solving for variable 'z'.

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

Add '57' to each side of the equation.
-57 + 57 + 3z2 = 0 + 57

Combine like terms: -57 + 57 = 0
0 + 3z2 = 0 + 57
3z2 = 0 + 57

Combine like terms: 0 + 57 = 57
3z2 = 57

Divide each side by '3'.
z2 = 19

Simplifying
z2 = 19

Take the square root of each side:
z = {-4.358898944, 4.358898944}