z^2-8z+32=0

Solution for z^2-8z+32=0 equation:

Simplifying
z2 + -8z + 32 = 0

Reorder the terms:
32 + -8z + z2 = 0

Solving
32 + -8z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-32' to each side of the equation.
32 + -8z + -32 + z2 = 0 + -32

Reorder the terms:
32 + -32 + -8z + z2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -8z + z2 = 0 + -32
-8z + z2 = 0 + -32

Combine like terms: 0 + -32 = -32
-8z + z2 = -32

The z term is -8z.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8z + 16 + z2 = -32 + 16

Reorder the terms:
16 + -8z + z2 = -32 + 16

Combine like terms: -32 + 16 = -16
16 + -8z + z2 = -16

Factor a perfect square on the left side:
(z + -4)(z + -4) = -16

Can't calculate square root of the right side.

The solution to this equation could not be determined.