5Z^2-75=0

Solution for 5Z^2-75=0 equation:

Simplifying
5Z2 + -75 = 0

Reorder the terms:
-75 + 5Z2 = 0

Solving
-75 + 5Z2 = 0

Solving for variable 'Z'.

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

Add '75' to each side of the equation.
-75 + 75 + 5Z2 = 0 + 75

Combine like terms: -75 + 75 = 0
0 + 5Z2 = 0 + 75
5Z2 = 0 + 75

Combine like terms: 0 + 75 = 75
5Z2 = 75

Divide each side by '5'.
Z2 = 15

Simplifying
Z2 = 15

Take the square root of each side:
Z = {-3.872983346, 3.872983346}