=x^2-10x+105

Solution for =x^2-10x+105 equation:

Simplifying
0 = x2 + -10x + 105

Reorder the terms:
0 = 105 + -10x + x2

Solving
0 = 105 + -10x + x2

Solving for variable 'x'.

Combine like terms: 0 + -105 = -105
-105 + 10x + -1x2 = 105 + -10x + x2 + -105 + 10x + -1x2

Reorder the terms:
-105 + 10x + -1x2 = 105 + -105 + -10x + 10x + x2 + -1x2

Combine like terms: 105 + -105 = 0
-105 + 10x + -1x2 = 0 + -10x + 10x + x2 + -1x2
-105 + 10x + -1x2 = -10x + 10x + x2 + -1x2

Combine like terms: -10x + 10x = 0
-105 + 10x + -1x2 = 0 + x2 + -1x2
-105 + 10x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-105 + 10x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
105 + -10x + x2 = 0

Move the constant term to the right:

Add '-105' to each side of the equation.
105 + -10x + -105 + x2 = 0 + -105

Reorder the terms:
105 + -105 + -10x + x2 = 0 + -105

Combine like terms: 105 + -105 = 0
0 + -10x + x2 = 0 + -105
-10x + x2 = 0 + -105

Combine like terms: 0 + -105 = -105
-10x + x2 = -105

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -105 + 25

Reorder the terms:
25 + -10x + x2 = -105 + 25

Combine like terms: -105 + 25 = -80
25 + -10x + x2 = -80

Factor a perfect square on the left side:
(x + -5)(x + -5) = -80

Can't calculate square root of the right side.

The solution to this equation could not be determined.