3z^2-45=0

Solution for 3z^2-45=0 equation:

Simplifying
3z2 + -45 = 0

Reorder the terms:
-45 + 3z2 = 0

Solving
-45 + 3z2 = 0

Solving for variable 'z'.

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

Add '45' to each side of the equation.
-45 + 45 + 3z2 = 0 + 45

Combine like terms: -45 + 45 = 0
0 + 3z2 = 0 + 45
3z2 = 0 + 45

Combine like terms: 0 + 45 = 45
3z2 = 45

Divide each side by '3'.
z2 = 15

Simplifying
z2 = 15

Take the square root of each side:
z = {-3.872983346, 3.872983346}