z^2+2z+26=0

Solution for z^2+2z+26=0 equation:

Simplifying
z2 + 2z + 26 = 0

Reorder the terms:
26 + 2z + z2 = 0

Solving
26 + 2z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-26' to each side of the equation.
26 + 2z + -26 + z2 = 0 + -26

Reorder the terms:
26 + -26 + 2z + z2 = 0 + -26

Combine like terms: 26 + -26 = 0
0 + 2z + z2 = 0 + -26
2z + z2 = 0 + -26

Combine like terms: 0 + -26 = -26
2z + z2 = -26

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 = -26 + 1

Reorder the terms:
1 + 2z + z2 = -26 + 1

Combine like terms: -26 + 1 = -25
1 + 2z + z2 = -25

Factor a perfect square on the left side:
(z + 1)(z + 1) = -25

Can't calculate square root of the right side.

The solution to this equation could not be determined.