(25z^2-64)=0

Solution for (25z^2-64)=0 equation:

Simplifying
(25z2 + -64) = 0

Reorder the terms:
(-64 + 25z2) = 0

Remove parenthesis around (-64 + 25z2)
-64 + 25z2 = 0

Solving
-64 + 25z2 = 0

Solving for variable 'z'.

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

Add '64' to each side of the equation.
-64 + 64 + 25z2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 25z2 = 0 + 64
25z2 = 0 + 64

Combine like terms: 0 + 64 = 64
25z2 = 64

Divide each side by '25'.
z2 = 2.56

Simplifying
z2 = 2.56

Take the square root of each side:
z = {-1.6, 1.6}