5z^2-240=0

Solution for 5z^2-240=0 equation:

Simplifying
5z2 + -240 = 0

Reorder the terms:
-240 + 5z2 = 0

Solving
-240 + 5z2 = 0

Solving for variable 'z'.

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

Add '240' to each side of the equation.
-240 + 240 + 5z2 = 0 + 240

Combine like terms: -240 + 240 = 0
0 + 5z2 = 0 + 240
5z2 = 0 + 240

Combine like terms: 0 + 240 = 240
5z2 = 240

Divide each side by '5'.
z2 = 48

Simplifying
z2 = 48

Take the square root of each side:
z = {-6.92820323, 6.92820323}