5z^2-200=0

Solution for 5z^2-200=0 equation:

Simplifying
5z2 + -200 = 0

Reorder the terms:
-200 + 5z2 = 0

Solving
-200 + 5z2 = 0

Solving for variable 'z'.

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

Add '200' to each side of the equation.
-200 + 200 + 5z2 = 0 + 200

Combine like terms: -200 + 200 = 0
0 + 5z2 = 0 + 200
5z2 = 0 + 200

Combine like terms: 0 + 200 = 200
5z2 = 200

Divide each side by '5'.
z2 = 40

Simplifying
z2 = 40

Take the square root of each side:
z = {-6.32455532, 6.32455532}