x^2-19x+127=0

Solution for x^2-19x+127=0 equation:

Simplifying
x2 + -19x + 127 = 0

Reorder the terms:
127 + -19x + x2 = 0

Solving
127 + -19x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-127' to each side of the equation.
127 + -19x + -127 + x2 = 0 + -127

Reorder the terms:
127 + -127 + -19x + x2 = 0 + -127

Combine like terms: 127 + -127 = 0
0 + -19x + x2 = 0 + -127
-19x + x2 = 0 + -127

Combine like terms: 0 + -127 = -127
-19x + x2 = -127

The x term is -19x.  Take half its coefficient (-9.5).
Square it (90.25) and add it to both sides.

Add '90.25' to each side of the equation.
-19x + 90.25 + x2 = -127 + 90.25

Reorder the terms:
90.25 + -19x + x2 = -127 + 90.25

Combine like terms: -127 + 90.25 = -36.75
90.25 + -19x + x2 = -36.75

Factor a perfect square on the left side:
(x + -9.5)(x + -9.5) = -36.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.