3x(x-1)+2+(x-1)=0

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Solution for 3x(x-1)+2+(x-1)=0 equation: 


Simplifying
3x(x + -1) + 2 + (x + -1) = 0

Reorder the terms:
3x(-1 + x) + 2 + (x + -1) = 0
(-1 * 3x + x * 3x) + 2 + (x + -1) = 0
(-3x + 3x2) + 2 + (x + -1) = 0

Reorder the terms:
-3x + 3x2 + 2 + (-1 + x) = 0

Remove parenthesis around (-1 + x)
-3x + 3x2 + 2 + -1 + x = 0

Reorder the terms:
2 + -1 + -3x + x + 3x2 = 0

Combine like terms: 2 + -1 = 1
1 + -3x + x + 3x2 = 0

Combine like terms: -3x + x = -2x
1 + -2x + 3x2 = 0

Solving
1 + -2x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
0.3333333333 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.6666666667x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.6666666667x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.6666666667x + x2 = 0 + -0.3333333333
-0.6666666667x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.6666666667x + x2 = -0.3333333333

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -0.3333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -0.3333333333 + 0.1111111112

Combine like terms: -0.3333333333 + 0.1111111112 = -0.2222222221
0.1111111112 + -0.6666666667x + x2 = -0.2222222221

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -0.2222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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