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

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

Simplifying
x2 + (x + -2)(x + -2) = (x + -9)(x + -9)

Reorder the terms:
x2 + (-2 + x)(x + -2) = (x + -9)(x + -9)

Reorder the terms:
x2 + (-2 + x)(-2 + x) = (x + -9)(x + -9)

Multiply (-2 + x) * (-2 + x)
x2 + (-2(-2 + x) + x(-2 + x)) = (x + -9)(x + -9)
x2 + ((-2 * -2 + x * -2) + x(-2 + x)) = (x + -9)(x + -9)
x2 + ((4 + -2x) + x(-2 + x)) = (x + -9)(x + -9)
x2 + (4 + -2x + (-2 * x + x * x)) = (x + -9)(x + -9)
x2 + (4 + -2x + (-2x + x2)) = (x + -9)(x + -9)

Combine like terms: -2x + -2x = -4x
x2 + (4 + -4x + x2) = (x + -9)(x + -9)

Reorder the terms:
4 + -4x + x2 + x2 = (x + -9)(x + -9)

Combine like terms: x2 + x2 = 2x2
4 + -4x + 2x2 = (x + -9)(x + -9)

Reorder the terms:
4 + -4x + 2x2 = (-9 + x)(x + -9)

Reorder the terms:
4 + -4x + 2x2 = (-9 + x)(-9 + x)

Multiply (-9 + x) * (-9 + x)
4 + -4x + 2x2 = (-9(-9 + x) + x(-9 + x))
4 + -4x + 2x2 = ((-9 * -9 + x * -9) + x(-9 + x))
4 + -4x + 2x2 = ((81 + -9x) + x(-9 + x))
4 + -4x + 2x2 = (81 + -9x + (-9 * x + x * x))
4 + -4x + 2x2 = (81 + -9x + (-9x + x2))

Combine like terms: -9x + -9x = -18x
4 + -4x + 2x2 = (81 + -18x + x2)

Solving
4 + -4x + 2x2 = 81 + -18x + x2

Solving for variable 'x'.

Reorder the terms:
4 + -81 + -4x + 18x + 2x2 + -1x2 = 81 + -18x + x2 + -81 + 18x + -1x2

Combine like terms: 4 + -81 = -77
-77 + -4x + 18x + 2x2 + -1x2 = 81 + -18x + x2 + -81 + 18x + -1x2

Combine like terms: -4x + 18x = 14x
-77 + 14x + 2x2 + -1x2 = 81 + -18x + x2 + -81 + 18x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-77 + 14x + 1x2 = 81 + -18x + x2 + -81 + 18x + -1x2

Reorder the terms:
-77 + 14x + 1x2 = 81 + -81 + -18x + 18x + x2 + -1x2

Combine like terms: 81 + -81 = 0
-77 + 14x + 1x2 = 0 + -18x + 18x + x2 + -1x2
-77 + 14x + 1x2 = -18x + 18x + x2 + -1x2

Combine like terms: -18x + 18x = 0
-77 + 14x + 1x2 = 0 + x2 + -1x2
-77 + 14x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-77 + 14x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '77' to each side of the equation.
-77 + 14x + 77 + x2 = 0 + 77

Reorder the terms:
-77 + 77 + 14x + x2 = 0 + 77

Combine like terms: -77 + 77 = 0
0 + 14x + x2 = 0 + 77
14x + x2 = 0 + 77

Combine like terms: 0 + 77 = 77
14x + x2 = 77

The x term is 14x.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14x + 49 + x2 = 77 + 49

Reorder the terms:
49 + 14x + x2 = 77 + 49

Combine like terms: 77 + 49 = 126
49 + 14x + x2 = 126

Factor a perfect square on the left side:
(x + 7)(x + 7) = 126

Calculate the square root of the right side: 11.22497216

Break this problem into two subproblems by setting 
(x + 7) equal to 11.22497216 and -11.22497216.

Subproblem 1
x + 7 = 11.22497216

Simplifying
x + 7 = 11.22497216

Reorder the terms:
7 + x = 11.22497216

Solving
7 + x = 11.22497216

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + x = 11.22497216 + -7

Combine like terms: 7 + -7 = 0
0 + x = 11.22497216 + -7
x = 11.22497216 + -7

Combine like terms: 11.22497216 + -7 = 4.22497216
x = 4.22497216

Simplifying
x = 4.22497216

Subproblem 2
x + 7 = -11.22497216

Simplifying
x + 7 = -11.22497216

Reorder the terms:
7 + x = -11.22497216

Solving
7 + x = -11.22497216

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + x = -11.22497216 + -7

Combine like terms: 7 + -7 = 0
0 + x = -11.22497216 + -7
x = -11.22497216 + -7

Combine like terms: -11.22497216 + -7 = -18.22497216
x = -18.22497216

Simplifying
x = -18.22497216

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.22497216, -18.22497216}