z^2-2z+14=

Solution for z^2-2z+14= equation:

Simplifying
z2 + -2z + 14 = 0

Reorder the terms:
14 + -2z + z2 = 0

Solving
14 + -2z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + -2z + -14 + z2 = 0 + -14

Reorder the terms:
14 + -14 + -2z + z2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -2z + z2 = 0 + -14
-2z + z2 = 0 + -14

Combine like terms: 0 + -14 = -14
-2z + z2 = -14

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 = -14 + 1

Reorder the terms:
1 + -2z + z2 = -14 + 1

Combine like terms: -14 + 1 = -13
1 + -2z + z2 = -13

Factor a perfect square on the left side:
(z + -1)(z + -1) = -13

Can't calculate square root of the right side.

The solution to this equation could not be determined.