2z^2-100=0

Solution for 2z^2-100=0 equation:

Simplifying
2z2 + -100 = 0

Reorder the terms:
-100 + 2z2 = 0

Solving
-100 + 2z2 = 0

Solving for variable 'z'.

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

Add '100' to each side of the equation.
-100 + 100 + 2z2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + 2z2 = 0 + 100
2z2 = 0 + 100

Combine like terms: 0 + 100 = 100
2z2 = 100

Divide each side by '2'.
z2 = 50

Simplifying
z2 = 50

Take the square root of each side:
z = {-7.071067812, 7.071067812}