z^2-2z+8=0

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

Simplifying
z2 + -2z + 8 = 0

Reorder the terms:
8 + -2z + z2 = 0

Solving
8 + -2z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

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

Reorder the terms:
8 + -8 + -2z + z2 = 0 + -8

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

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

The z term is -2z.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2z + 1 + z2 = -8 + 1

Reorder the terms:
1 + -2z + z2 = -8 + 1

Combine like terms: -8 + 1 = -7
1 + -2z + z2 = -7

Factor a perfect square on the left side:
(z + -1)(z + -1) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.