z^2+8z+16=-36

Solution for z^2+8z+16=-36 equation:

Simplifying
z2 + 8z + 16 = -36

Reorder the terms:
16 + 8z + z2 = -36

Solving
16 + 8z + z2 = -36

Solving for variable 'z'.

Reorder the terms:
16 + 36 + 8z + z2 = -36 + 36

Combine like terms: 16 + 36 = 52
52 + 8z + z2 = -36 + 36

Combine like terms: -36 + 36 = 0
52 + 8z + z2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-52' to each side of the equation.
52 + 8z + -52 + z2 = 0 + -52

Reorder the terms:
52 + -52 + 8z + z2 = 0 + -52

Combine like terms: 52 + -52 = 0
0 + 8z + z2 = 0 + -52
8z + z2 = 0 + -52

Combine like terms: 0 + -52 = -52
8z + z2 = -52

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 = -52 + 16

Reorder the terms:
16 + 8z + z2 = -52 + 16

Combine like terms: -52 + 16 = -36
16 + 8z + z2 = -36

Factor a perfect square on the left side:
(z + 4)(z + 4) = -36

Can't calculate square root of the right side.

The solution to this equation could not be determined.