x^2-20x+105=0

Solution for x^2-20x+105=0 equation:

Simplifying
x2 + -20x + 105 = 0

Reorder the terms:
105 + -20x + x2 = 0

Solving
105 + -20x + 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 + -20x + -105 + x2 = 0 + -105

Reorder the terms:
105 + -105 + -20x + x2 = 0 + -105

Combine like terms: 105 + -105 = 0
0 + -20x + x2 = 0 + -105
-20x + x2 = 0 + -105

Combine like terms: 0 + -105 = -105
-20x + x2 = -105

The x term is -20x.  Take half its coefficient (-10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
-20x + 100 + x2 = -105 + 100

Reorder the terms:
100 + -20x + x2 = -105 + 100

Combine like terms: -105 + 100 = -5
100 + -20x + x2 = -5

Factor a perfect square on the left side:
(x + -10)(x + -10) = -5

Can't calculate square root of the right side.

The solution to this equation could not be determined.