(x-9)(x-9)=x-11

Solution for (x-9)(x-9)=x-11 equation:

Simplifying
(x + -9)(x + -9) = x + -11

Reorder the terms:
(-9 + x)(x + -9) = x + -11

Reorder the terms:
(-9 + x)(-9 + x) = x + -11

Multiply (-9 + x) * (-9 + x)
(-9(-9 + x) + x(-9 + x)) = x + -11
((-9 * -9 + x * -9) + x(-9 + x)) = x + -11
((81 + -9x) + x(-9 + x)) = x + -11
(81 + -9x + (-9 * x + x * x)) = x + -11
(81 + -9x + (-9x + x2)) = x + -11

Combine like terms: -9x + -9x = -18x
(81 + -18x + x2) = x + -11

Reorder the terms:
81 + -18x + x2 = -11 + x

Solving
81 + -18x + x2 = -11 + x

Solving for variable 'x'.

Reorder the terms:
81 + 11 + -18x + -1x + x2 = -11 + x + 11 + -1x

Combine like terms: 81 + 11 = 92
92 + -18x + -1x + x2 = -11 + x + 11 + -1x

Combine like terms: -18x + -1x = -19x
92 + -19x + x2 = -11 + x + 11 + -1x

Reorder the terms:
92 + -19x + x2 = -11 + 11 + x + -1x

Combine like terms: -11 + 11 = 0
92 + -19x + x2 = 0 + x + -1x
92 + -19x + x2 = x + -1x

Combine like terms: x + -1x = 0
92 + -19x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-92' to each side of the equation.
92 + -19x + -92 + x2 = 0 + -92

Reorder the terms:
92 + -92 + -19x + x2 = 0 + -92

Combine like terms: 92 + -92 = 0
0 + -19x + x2 = 0 + -92
-19x + x2 = 0 + -92

Combine like terms: 0 + -92 = -92
-19x + x2 = -92

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 = -92 + 90.25

Reorder the terms:
90.25 + -19x + x2 = -92 + 90.25

Combine like terms: -92 + 90.25 = -1.75
90.25 + -19x + x2 = -1.75

Factor a perfect square on the left side:
(x + -9.5)(x + -9.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.