4z^2-56=0

Solution for 4z^2-56=0 equation:

Simplifying
4z2 + -56 = 0

Reorder the terms:
-56 + 4z2 = 0

Solving
-56 + 4z2 = 0

Solving for variable 'z'.

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

Add '56' to each side of the equation.
-56 + 56 + 4z2 = 0 + 56

Combine like terms: -56 + 56 = 0
0 + 4z2 = 0 + 56
4z2 = 0 + 56

Combine like terms: 0 + 56 = 56
4z2 = 56

Divide each side by '4'.
z2 = 14

Simplifying
z2 = 14

Take the square root of each side:
z = {-3.741657387, 3.741657387}