z^2+2z+1=-16

Solution for z^2+2z+1=-16 equation:

Simplifying
z2 + 2z + 1 = -16

Reorder the terms:
1 + 2z + z2 = -16

Solving
1 + 2z + z2 = -16

Solving for variable 'z'.

Reorder the terms:
1 + 16 + 2z + z2 = -16 + 16

Combine like terms: 1 + 16 = 17
17 + 2z + z2 = -16 + 16

Combine like terms: -16 + 16 = 0
17 + 2z + z2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + 2z + -17 + z2 = 0 + -17

Reorder the terms:
17 + -17 + 2z + z2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 2z + z2 = 0 + -17
2z + z2 = 0 + -17

Combine like terms: 0 + -17 = -17
2z + z2 = -17

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 = -17 + 1

Reorder the terms:
1 + 2z + z2 = -17 + 1

Combine like terms: -17 + 1 = -16
1 + 2z + z2 = -16

Factor a perfect square on the left side:
(z + 1)(z + 1) = -16

Can't calculate square root of the right side.

The solution to this equation could not be determined.