(x^2-5x+9)=(x-6)

Solution for (x^2-5x+9)=(x-6) equation:

Simplifying
(x2 + -5x + 9) = (x + -6)

Reorder the terms:
(9 + -5x + x2) = (x + -6)

Remove parenthesis around (9 + -5x + x2)
9 + -5x + x2 = (x + -6)

Reorder the terms:
9 + -5x + x2 = (-6 + x)

Remove parenthesis around (-6 + x)
9 + -5x + x2 = -6 + x

Solving
9 + -5x + x2 = -6 + x

Solving for variable 'x'.

Reorder the terms:
9 + 6 + -5x + -1x + x2 = -6 + x + 6 + -1x

Combine like terms: 9 + 6 = 15
15 + -5x + -1x + x2 = -6 + x + 6 + -1x

Combine like terms: -5x + -1x = -6x
15 + -6x + x2 = -6 + x + 6 + -1x

Reorder the terms:
15 + -6x + x2 = -6 + 6 + x + -1x

Combine like terms: -6 + 6 = 0
15 + -6x + x2 = 0 + x + -1x
15 + -6x + x2 = x + -1x

Combine like terms: x + -1x = 0
15 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -6x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + -6x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -6x + x2 = 0 + -15
-6x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
-6x + x2 = -15

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -15 + 9

Reorder the terms:
9 + -6x + x2 = -15 + 9

Combine like terms: -15 + 9 = -6
9 + -6x + x2 = -6

Factor a perfect square on the left side:
(x + -3)(x + -3) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.