12x-9(x+1)x=2

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Solution for 12x-9(x+1)x=2 equation: 


Simplifying
12x + -9(x + 1) * x = 2

Reorder the terms:
12x + -9(1 + x) * x = 2

Reorder the terms for easier multiplication:
12x + -9x(1 + x) = 2
12x + (1 * -9x + x * -9x) = 2
12x + (-9x + -9x2) = 2

Combine like terms: 12x + -9x = 3x
3x + -9x2 = 2

Solving
3x + -9x2 = 2

Solving for variable 'x'.

Reorder the terms:
-2 + 3x + -9x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 3x + -9x2 = 0

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
0.2222222222 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-0.2222222222' to each side of the equation.
0.2222222222 + -0.3333333333x + -0.2222222222 + x2 = 0 + -0.2222222222

Reorder the terms:
0.2222222222 + -0.2222222222 + -0.3333333333x + x2 = 0 + -0.2222222222

Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000
0.0000000000 + -0.3333333333x + x2 = 0 + -0.2222222222
-0.3333333333x + x2 = 0 + -0.2222222222

Combine like terms: 0 + -0.2222222222 = -0.2222222222
-0.3333333333x + x2 = -0.2222222222

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -0.2222222222 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -0.2222222222 + 0.02777777779

Combine like terms: -0.2222222222 + 0.02777777779 = -0.19444444441
0.02777777779 + -0.3333333333x + x2 = -0.19444444441

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -0.19444444441

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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