2x^2-22x+65=(x-7)

Solution for 2x^2-22x+65=(x-7) equation:

Simplifying
2x2 + -22x + 65 = (x + -7)

Reorder the terms:
65 + -22x + 2x2 = (x + -7)

Reorder the terms:
65 + -22x + 2x2 = (-7 + x)

Remove parenthesis around (-7 + x)
65 + -22x + 2x2 = -7 + x

Solving
65 + -22x + 2x2 = -7 + x

Solving for variable 'x'.

Reorder the terms:
65 + 7 + -22x + -1x + 2x2 = -7 + x + 7 + -1x

Combine like terms: 65 + 7 = 72
72 + -22x + -1x + 2x2 = -7 + x + 7 + -1x

Combine like terms: -22x + -1x = -23x
72 + -23x + 2x2 = -7 + x + 7 + -1x

Reorder the terms:
72 + -23x + 2x2 = -7 + 7 + x + -1x

Combine like terms: -7 + 7 = 0
72 + -23x + 2x2 = 0 + x + -1x
72 + -23x + 2x2 = x + -1x

Combine like terms: x + -1x = 0
72 + -23x + 2x2 = 0

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

Divide each side by '2'.
36 + -11.5x + x2 = 0

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + -11.5x + -36 + x2 = 0 + -36

Reorder the terms:
36 + -36 + -11.5x + x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -11.5x + x2 = 0 + -36
-11.5x + x2 = 0 + -36

Combine like terms: 0 + -36 = -36
-11.5x + x2 = -36

The x term is -11.5x.  Take half its coefficient (-5.75).
Square it (33.0625) and add it to both sides.

Add '33.0625' to each side of the equation.
-11.5x + 33.0625 + x2 = -36 + 33.0625

Reorder the terms:
33.0625 + -11.5x + x2 = -36 + 33.0625

Combine like terms: -36 + 33.0625 = -2.9375
33.0625 + -11.5x + x2 = -2.9375

Factor a perfect square on the left side:
(x + -5.75)(x + -5.75) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.