7x+14-7x-14-2z^2+8=0

Solution for 7x+14-7x-14-2z^2+8=0 equation:

Simplifying
7x + 14 + -7x + -14 + -2z2 + 8 = 0

Reorder the terms:
14 + -14 + 8 + 7x + -7x + -2z2 = 0

Combine like terms: 14 + -14 = 0
0 + 8 + 7x + -7x + -2z2 = 0
8 + 7x + -7x + -2z2 = 0

Combine like terms: 7x + -7x = 0
8 + 0 + -2z2 = 0
8 + -2z2 = 0

Solving
8 + -2z2 = 0

Solving for variable 'z'.

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

Add '-8' to each side of the equation.
8 + -8 + -2z2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -2z2 = 0 + -8
-2z2 = 0 + -8

Combine like terms: 0 + -8 = -8
-2z2 = -8

Divide each side by '-2'.
z2 = 4

Simplifying
z2 = 4

Take the square root of each side:
z = {-2, 2}