2z^2=z^2+16

Solution for 2z^2=z^2+16 equation:

Simplifying
2z2 = z2 + 16

Reorder the terms:
2z2 = 16 + z2

Solving
2z2 = 16 + z2

Solving for variable 'z'.

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

Add '-1z2' to each side of the equation.
2z2 + -1z2 = 16 + z2 + -1z2

Combine like terms: 2z2 + -1z2 = 1z2
1z2 = 16 + z2 + -1z2

Combine like terms: z2 + -1z2 = 0
1z2 = 16 + 0
1z2 = 16

Divide each side by '1'.
z2 = 16

Simplifying
z2 = 16

Take the square root of each side:
z = {-4, 4}