x^2-16x+105=0

Solution for x^2-16x+105=0 equation:

Simplifying
x2 + -16x + 105 = 0

Reorder the terms:
105 + -16x + x2 = 0

Solving
105 + -16x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-105' to each side of the equation.
105 + -16x + -105 + x2 = 0 + -105

Reorder the terms:
105 + -105 + -16x + x2 = 0 + -105

Combine like terms: 105 + -105 = 0
0 + -16x + x2 = 0 + -105
-16x + x2 = 0 + -105

Combine like terms: 0 + -105 = -105
-16x + x2 = -105

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 = -105 + 64

Reorder the terms:
64 + -16x + x2 = -105 + 64

Combine like terms: -105 + 64 = -41
64 + -16x + x2 = -41

Factor a perfect square on the left side:
(x + -8)(x + -8) = -41

Can't calculate square root of the right side.

The solution to this equation could not be determined.