3z^2-51=0

Solution for 3z^2-51=0 equation:

Simplifying
3z2 + -51 = 0

Reorder the terms:
-51 + 3z2 = 0

Solving
-51 + 3z2 = 0

Solving for variable 'z'.

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

Add '51' to each side of the equation.
-51 + 51 + 3z2 = 0 + 51

Combine like terms: -51 + 51 = 0
0 + 3z2 = 0 + 51
3z2 = 0 + 51

Combine like terms: 0 + 51 = 51
3z2 = 51

Divide each side by '3'.
z2 = 17

Simplifying
z2 = 17

Take the square root of each side:
z = {-4.123105626, 4.123105626}