4z^2-52=0

Solution for 4z^2-52=0 equation:

Simplifying
4z2 + -52 = 0

Reorder the terms:
-52 + 4z2 = 0

Solving
-52 + 4z2 = 0

Solving for variable 'z'.

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

Add '52' to each side of the equation.
-52 + 52 + 4z2 = 0 + 52

Combine like terms: -52 + 52 = 0
0 + 4z2 = 0 + 52
4z2 = 0 + 52

Combine like terms: 0 + 52 = 52
4z2 = 52

Divide each side by '4'.
z2 = 13

Simplifying
z2 = 13

Take the square root of each side:
z = {-3.605551275, 3.605551275}