x^2-8x+105=0

Solution for x^2-8x+105=0 equation:

Simplifying
x2 + -8x + 105 = 0

Reorder the terms:
105 + -8x + x2 = 0

Solving
105 + -8x + 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 + -8x + -105 + x2 = 0 + -105

Reorder the terms:
105 + -105 + -8x + x2 = 0 + -105

Combine like terms: 105 + -105 = 0
0 + -8x + x2 = 0 + -105
-8x + x2 = 0 + -105

Combine like terms: 0 + -105 = -105
-8x + x2 = -105

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -105 + 16

Reorder the terms:
16 + -8x + x2 = -105 + 16

Combine like terms: -105 + 16 = -89
16 + -8x + x2 = -89

Factor a perfect square on the left side:
(x + -4)(x + -4) = -89

Can't calculate square root of the right side.

The solution to this equation could not be determined.