z^2-10z+26=0

Solution for z^2-10z+26=0 equation:

Simplifying
z2 + -10z + 26 = 0

Reorder the terms:
26 + -10z + z2 = 0

Solving
26 + -10z + 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 + -10z + -26 + z2 = 0 + -26

Reorder the terms:
26 + -26 + -10z + z2 = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -10z + z2 = 0 + -26
-10z + z2 = 0 + -26

Combine like terms: 0 + -26 = -26
-10z + z2 = -26

The z term is -10z.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10z + 25 + z2 = -26 + 25

Reorder the terms:
25 + -10z + z2 = -26 + 25

Combine like terms: -26 + 25 = -1
25 + -10z + z2 = -1

Factor a perfect square on the left side:
(z + -5)(z + -5) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.