3x(x-2)=x-6

Solution for 3x(x-2)=x-6 equation:

Simplifying
3x(x + -2) = x + -6

Reorder the terms:
3x(-2 + x) = x + -6
(-2 * 3x + x * 3x) = x + -6
(-6x + 3x2) = x + -6

Reorder the terms:
-6x + 3x2 = -6 + x

Solving
-6x + 3x2 = -6 + x

Solving for variable 'x'.

Reorder the terms:
6 + -6x + -1x + 3x2 = -6 + x + 6 + -1x

Combine like terms: -6x + -1x = -7x
6 + -7x + 3x2 = -6 + x + 6 + -1x

Reorder the terms:
6 + -7x + 3x2 = -6 + 6 + x + -1x

Combine like terms: -6 + 6 = 0
6 + -7x + 3x2 = 0 + x + -1x
6 + -7x + 3x2 = x + -1x

Combine like terms: x + -1x = 0
6 + -7x + 3x2 = 0

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

Divide each side by '3'.
2 + -2.333333333x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -2.333333333x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -2.333333333x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2.333333333x + x2 = 0 + -2
-2.333333333x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-2.333333333x + x2 = -2

The x term is -2.333333333x.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333x + 1.361111112 + x2 = -2 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333x + x2 = -2 + 1.361111112

Combine like terms: -2 + 1.361111112 = -0.638888888
1.361111112 + -2.333333333x + x2 = -0.638888888

Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = -0.638888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.