4z^2-288=0

Solution for 4z^2-288=0 equation:

Simplifying
4z2 + -288 = 0

Reorder the terms:
-288 + 4z2 = 0

Solving
-288 + 4z2 = 0

Solving for variable 'z'.

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

Add '288' to each side of the equation.
-288 + 288 + 4z2 = 0 + 288

Combine like terms: -288 + 288 = 0
0 + 4z2 = 0 + 288
4z2 = 0 + 288

Combine like terms: 0 + 288 = 288
4z2 = 288

Divide each side by '4'.
z2 = 72

Simplifying
z2 = 72

Take the square root of each side:
z = {-8.485281374, 8.485281374}