x^2-16x+89=0

Solution for x^2-16x+89=0 equation:

Simplifying
x2 + -16x + 89 = 0

Reorder the terms:
89 + -16x + x2 = 0

Solving
89 + -16x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-89' to each side of the equation.
89 + -16x + -89 + x2 = 0 + -89

Reorder the terms:
89 + -89 + -16x + x2 = 0 + -89

Combine like terms: 89 + -89 = 0
0 + -16x + x2 = 0 + -89
-16x + x2 = 0 + -89

Combine like terms: 0 + -89 = -89
-16x + x2 = -89

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

Add '64' to each side of the equation.
-16x + 64 + x2 = -89 + 64

Reorder the terms:
64 + -16x + x2 = -89 + 64

Combine like terms: -89 + 64 = -25
64 + -16x + x2 = -25

Factor a perfect square on the left side:
(x + -8)(x + -8) = -25

Can't calculate square root of the right side.

The solution to this equation could not be determined.