z^2+18z+196=0

Solution for z^2+18z+196=0 equation:

Simplifying
z2 + 18z + 196 = 0

Reorder the terms:
196 + 18z + z2 = 0

Solving
196 + 18z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-196' to each side of the equation.
196 + 18z + -196 + z2 = 0 + -196

Reorder the terms:
196 + -196 + 18z + z2 = 0 + -196

Combine like terms: 196 + -196 = 0
0 + 18z + z2 = 0 + -196
18z + z2 = 0 + -196

Combine like terms: 0 + -196 = -196
18z + z2 = -196

The z term is 18z.  Take half its coefficient (9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
18z + 81 + z2 = -196 + 81

Reorder the terms:
81 + 18z + z2 = -196 + 81

Combine like terms: -196 + 81 = -115
81 + 18z + z2 = -115

Factor a perfect square on the left side:
(z + 9)(z + 9) = -115

Can't calculate square root of the right side.

The solution to this equation could not be determined.