z^2-12z+144=0

Solution for z^2-12z+144=0 equation:

Simplifying
z2 + -12z + 144 = 0

Reorder the terms:
144 + -12z + z2 = 0

Solving
144 + -12z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-144' to each side of the equation.
144 + -12z + -144 + z2 = 0 + -144

Reorder the terms:
144 + -144 + -12z + z2 = 0 + -144

Combine like terms: 144 + -144 = 0
0 + -12z + z2 = 0 + -144
-12z + z2 = 0 + -144

Combine like terms: 0 + -144 = -144
-12z + z2 = -144

The z term is -12z.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12z + 36 + z2 = -144 + 36

Reorder the terms:
36 + -12z + z2 = -144 + 36

Combine like terms: -144 + 36 = -108
36 + -12z + z2 = -108

Factor a perfect square on the left side:
(z + -6)(z + -6) = -108

Can't calculate square root of the right side.

The solution to this equation could not be determined.