z^2-16z+64=-49

Solution for z^2-16z+64=-49 equation:

Simplifying
z2 + -16z + 64 = -49

Reorder the terms:
64 + -16z + z2 = -49

Solving
64 + -16z + z2 = -49

Solving for variable 'z'.

Reorder the terms:
64 + 49 + -16z + z2 = -49 + 49

Combine like terms: 64 + 49 = 113
113 + -16z + z2 = -49 + 49

Combine like terms: -49 + 49 = 0
113 + -16z + z2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-113' to each side of the equation.
113 + -16z + -113 + z2 = 0 + -113

Reorder the terms:
113 + -113 + -16z + z2 = 0 + -113

Combine like terms: 113 + -113 = 0
0 + -16z + z2 = 0 + -113
-16z + z2 = 0 + -113

Combine like terms: 0 + -113 = -113
-16z + z2 = -113

The z term is -16z.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16z + 64 + z2 = -113 + 64

Reorder the terms:
64 + -16z + z2 = -113 + 64

Combine like terms: -113 + 64 = -49
64 + -16z + z2 = -49

Factor a perfect square on the left side:
(z + -8)(z + -8) = -49

Can't calculate square root of the right side.

The solution to this equation could not be determined.