4z^2-100=0

Solution for 4z^2-100=0 equation:

Simplifying
4z2 + -100 = 0

Reorder the terms:
-100 + 4z2 = 0

Solving
-100 + 4z2 = 0

Solving for variable 'z'.

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

Add '100' to each side of the equation.
-100 + 100 + 4z2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + 4z2 = 0 + 100
4z2 = 0 + 100

Combine like terms: 0 + 100 = 100
4z2 = 100

Divide each side by '4'.
z2 = 25

Simplifying
z2 = 25

Take the square root of each side:
z = {-5, 5}