x^2-2x+49=11x+6

Solution for x^2-2x+49=11x+6 equation:

Simplifying
x2 + -2x + 49 = 11x + 6

Reorder the terms:
49 + -2x + x2 = 11x + 6

Reorder the terms:
49 + -2x + x2 = 6 + 11x

Solving
49 + -2x + x2 = 6 + 11x

Solving for variable 'x'.

Reorder the terms:
49 + -6 + -2x + -11x + x2 = 6 + 11x + -6 + -11x

Combine like terms: 49 + -6 = 43
43 + -2x + -11x + x2 = 6 + 11x + -6 + -11x

Combine like terms: -2x + -11x = -13x
43 + -13x + x2 = 6 + 11x + -6 + -11x

Reorder the terms:
43 + -13x + x2 = 6 + -6 + 11x + -11x

Combine like terms: 6 + -6 = 0
43 + -13x + x2 = 0 + 11x + -11x
43 + -13x + x2 = 11x + -11x

Combine like terms: 11x + -11x = 0
43 + -13x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-43' to each side of the equation.
43 + -13x + -43 + x2 = 0 + -43

Reorder the terms:
43 + -43 + -13x + x2 = 0 + -43

Combine like terms: 43 + -43 = 0
0 + -13x + x2 = 0 + -43
-13x + x2 = 0 + -43

Combine like terms: 0 + -43 = -43
-13x + x2 = -43

The x term is -13x.  Take half its coefficient (-6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
-13x + 42.25 + x2 = -43 + 42.25

Reorder the terms:
42.25 + -13x + x2 = -43 + 42.25

Combine like terms: -43 + 42.25 = -0.75
42.25 + -13x + x2 = -0.75

Factor a perfect square on the left side:
(x + -6.5)(x + -6.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.