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

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


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

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

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

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

Solving
-1x + -3x2 = 2 + -3x

Solving for variable 'x'.

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

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

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

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

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

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

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

Move the constant term to the right:

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

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

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

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

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 = -0.6666666667 + 0.1111111112

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

Combine like terms: -0.6666666667 + 0.1111111112 = -0.5555555555
0.1111111112 + -0.6666666667x + x2 = -0.5555555555

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -0.5555555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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