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

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


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

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

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

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

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

Solving
-1 + 3x + -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 + -1x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -1x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -1x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -1x + x2 = 0 + -0.3333333333
-1x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-1x + x2 = -0.3333333333

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -0.3333333333 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -0.3333333333 + 0.25

Combine like terms: -0.3333333333 + 0.25 = -0.0833333333
0.25 + -1x + x2 = -0.0833333333

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -0.0833333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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