Z^2-6=2z+8

Solution for Z^2-6=2z+8 equation:

Simplifying
Z2 + -6 = 2z + 8

Reorder the terms:
-6 + Z2 = 2z + 8

Reorder the terms:
-6 + Z2 = 8 + 2z

Solving
-6 + Z2 = 8 + 2z

Solving for variable 'Z'.

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

Add '6' to each side of the equation.
-6 + 6 + Z2 = 8 + 6 + 2z

Combine like terms: -6 + 6 = 0
0 + Z2 = 8 + 6 + 2z
Z2 = 8 + 6 + 2z

Combine like terms: 8 + 6 = 14
Z2 = 14 + 2z

Simplifying
Z2 = 14 + 2z

Reorder the terms:
-14 + Z2 + -2z = 14 + 2z + -14 + -2z

Reorder the terms:
-14 + Z2 + -2z = 14 + -14 + 2z + -2z

Combine like terms: 14 + -14 = 0
-14 + Z2 + -2z = 0 + 2z + -2z
-14 + Z2 + -2z = 2z + -2z

Combine like terms: 2z + -2z = 0
-14 + Z2 + -2z = 0

The solution to this equation could not be determined.