z^2+16z+145=0

Solution for z^2+16z+145=0 equation:

Simplifying
z2 + 16z + 145 = 0

Reorder the terms:
145 + 16z + z2 = 0

Solving
145 + 16z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-145' to each side of the equation.
145 + 16z + -145 + z2 = 0 + -145

Reorder the terms:
145 + -145 + 16z + z2 = 0 + -145

Combine like terms: 145 + -145 = 0
0 + 16z + z2 = 0 + -145
16z + z2 = 0 + -145

Combine like terms: 0 + -145 = -145
16z + z2 = -145

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 = -145 + 64

Reorder the terms:
64 + 16z + z2 = -145 + 64

Combine like terms: -145 + 64 = -81
64 + 16z + z2 = -81

Factor a perfect square on the left side:
(z + 8)(z + 8) = -81

Can't calculate square root of the right side.

The solution to this equation could not be determined.