z^2+16z+128=0

Solution for z^2+16z+128=0 equation:

Simplifying
z2 + 16z + 128 = 0

Reorder the terms:
128 + 16z + z2 = 0

Solving
128 + 16z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-128' to each side of the equation.
128 + 16z + -128 + z2 = 0 + -128

Reorder the terms:
128 + -128 + 16z + z2 = 0 + -128

Combine like terms: 128 + -128 = 0
0 + 16z + z2 = 0 + -128
16z + z2 = 0 + -128

Combine like terms: 0 + -128 = -128
16z + z2 = -128

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 = -128 + 64

Reorder the terms:
64 + 16z + z2 = -128 + 64

Combine like terms: -128 + 64 = -64
64 + 16z + z2 = -64

Factor a perfect square on the left side:
(z + 8)(z + 8) = -64

Can't calculate square root of the right side.

The solution to this equation could not be determined.