Z^2-8Z+225=0

Solution for Z^2-8Z+225=0 equation:

Simplifying
Z2 + -8Z + 225 = 0

Reorder the terms:
225 + -8Z + Z2 = 0

Solving
225 + -8Z + Z2 = 0

Solving for variable 'Z'.

Begin completing the square.

Move the constant term to the right:

Add '-225' to each side of the equation.
225 + -8Z + -225 + Z2 = 0 + -225

Reorder the terms:
225 + -225 + -8Z + Z2 = 0 + -225

Combine like terms: 225 + -225 = 0
0 + -8Z + Z2 = 0 + -225
-8Z + Z2 = 0 + -225

Combine like terms: 0 + -225 = -225
-8Z + Z2 = -225

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 = -225 + 16

Reorder the terms:
16 + -8Z + Z2 = -225 + 16

Combine like terms: -225 + 16 = -209
16 + -8Z + Z2 = -209

Factor a perfect square on the left side:
(Z + -4)(Z + -4) = -209

Can't calculate square root of the right side.

The solution to this equation could not be determined.