z^2-8z+16=-196

Solution for z^2-8z+16=-196 equation:

Simplifying
z2 + -8z + 16 = -196

Reorder the terms:
16 + -8z + z2 = -196

Solving
16 + -8z + z2 = -196

Solving for variable 'z'.

Reorder the terms:
16 + 196 + -8z + z2 = -196 + 196

Combine like terms: 16 + 196 = 212
212 + -8z + z2 = -196 + 196

Combine like terms: -196 + 196 = 0
212 + -8z + z2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-212' to each side of the equation.
212 + -8z + -212 + z2 = 0 + -212

Reorder the terms:
212 + -212 + -8z + z2 = 0 + -212

Combine like terms: 212 + -212 = 0
0 + -8z + z2 = 0 + -212
-8z + z2 = 0 + -212

Combine like terms: 0 + -212 = -212
-8z + z2 = -212

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 = -212 + 16

Reorder the terms:
16 + -8z + z2 = -212 + 16

Combine like terms: -212 + 16 = -196
16 + -8z + z2 = -196

Factor a perfect square on the left side:
(z + -4)(z + -4) = -196

Can't calculate square root of the right side.

The solution to this equation could not be determined.