5z^2-65=0

Solution for 5z^2-65=0 equation:

Simplifying
5z2 + -65 = 0

Reorder the terms:
-65 + 5z2 = 0

Solving
-65 + 5z2 = 0

Solving for variable 'z'.

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

Add '65' to each side of the equation.
-65 + 65 + 5z2 = 0 + 65

Combine like terms: -65 + 65 = 0
0 + 5z2 = 0 + 65
5z2 = 0 + 65

Combine like terms: 0 + 65 = 65
5z2 = 65

Divide each side by '5'.
z2 = 13

Simplifying
z2 = 13

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