z^2-14z+72=0

Solution for z^2-14z+72=0 equation:

Simplifying
z2 + -14z + 72 = 0

Reorder the terms:
72 + -14z + z2 = 0

Solving
72 + -14z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-72' to each side of the equation.
72 + -14z + -72 + z2 = 0 + -72

Reorder the terms:
72 + -72 + -14z + z2 = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -14z + z2 = 0 + -72
-14z + z2 = 0 + -72

Combine like terms: 0 + -72 = -72
-14z + z2 = -72

The z term is -14z.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14z + 49 + z2 = -72 + 49

Reorder the terms:
49 + -14z + z2 = -72 + 49

Combine like terms: -72 + 49 = -23
49 + -14z + z2 = -23

Factor a perfect square on the left side:
(z + -7)(z + -7) = -23

Can't calculate square root of the right side.

The solution to this equation could not be determined.