5z^2-25=0

Solution for 5z^2-25=0 equation:

Simplifying
5z2 + -25 = 0

Reorder the terms:
-25 + 5z2 = 0

Solving
-25 + 5z2 = 0

Solving for variable 'z'.

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

Add '25' to each side of the equation.
-25 + 25 + 5z2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 5z2 = 0 + 25
5z2 = 0 + 25

Combine like terms: 0 + 25 = 25
5z2 = 25

Divide each side by '5'.
z2 = 5

Simplifying
z2 = 5

Take the square root of each side:
z = {-2.236067978, 2.236067978}