z^2-16z+64=-256

Solution for z^2-16z+64=-256 equation:

Simplifying
z2 + -16z + 64 = -256

Reorder the terms:
64 + -16z + z2 = -256

Solving
64 + -16z + z2 = -256

Solving for variable 'z'.

Reorder the terms:
64 + 256 + -16z + z2 = -256 + 256

Combine like terms: 64 + 256 = 320
320 + -16z + z2 = -256 + 256

Combine like terms: -256 + 256 = 0
320 + -16z + z2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-320' to each side of the equation.
320 + -16z + -320 + z2 = 0 + -320

Reorder the terms:
320 + -320 + -16z + z2 = 0 + -320

Combine like terms: 320 + -320 = 0
0 + -16z + z2 = 0 + -320
-16z + z2 = 0 + -320

Combine like terms: 0 + -320 = -320
-16z + z2 = -320

The z term is -16z.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16z + 64 + z2 = -320 + 64

Reorder the terms:
64 + -16z + z2 = -320 + 64

Combine like terms: -320 + 64 = -256
64 + -16z + z2 = -256

Factor a perfect square on the left side:
(z + -8)(z + -8) = -256

Can't calculate square root of the right side.

The solution to this equation could not be determined.