3x(x-2)=x-9

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Solution for 3x(x-2)=x-9 equation: 


Simplifying
3x(x + -2) = x + -9

Reorder the terms:
3x(-2 + x) = x + -9
(-2 * 3x + x * 3x) = x + -9
(-6x + 3x2) = x + -9

Reorder the terms:
-6x + 3x2 = -9 + x

Solving
-6x + 3x2 = -9 + x

Solving for variable 'x'.

Reorder the terms:
9 + -6x + -1x + 3x2 = -9 + x + 9 + -1x

Combine like terms: -6x + -1x = -7x
9 + -7x + 3x2 = -9 + x + 9 + -1x

Reorder the terms:
9 + -7x + 3x2 = -9 + 9 + x + -1x

Combine like terms: -9 + 9 = 0
9 + -7x + 3x2 = 0 + x + -1x
9 + -7x + 3x2 = x + -1x

Combine like terms: x + -1x = 0
9 + -7x + 3x2 = 0

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

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

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2.333333333x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -2.333333333x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2.333333333x + x2 = 0 + -3
-2.333333333x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2.333333333x + x2 = -3

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 = -3 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333x + x2 = -3 + 1.361111112

Combine like terms: -3 + 1.361111112 = -1.638888888
1.361111112 + -2.333333333x + x2 = -1.638888888

Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = -1.638888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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