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

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


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

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

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

Multiply (-2 + 3x) * (-1 + x)
(-2(-1 + x) + 3x * (-1 + x)) = -3
((-1 * -2 + x * -2) + 3x * (-1 + x)) = -3
((2 + -2x) + 3x * (-1 + x)) = -3
(2 + -2x + (-1 * 3x + x * 3x)) = -3
(2 + -2x + (-3x + 3x2)) = -3

Combine like terms: -2x + -3x = -5x
(2 + -5x + 3x2) = -3

Solving
2 + -5x + 3x2 = -3

Solving for variable 'x'.

Reorder the terms:
2 + 3 + -5x + 3x2 = -3 + 3

Combine like terms: 2 + 3 = 5
5 + -5x + 3x2 = -3 + 3

Combine like terms: -3 + 3 = 0
5 + -5x + 3x2 = 0

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

Divide each side by '3'.
1.666666667 + -1.666666667x + x2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + -1.666666667x + -1.666666667 + x2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + -1.666666667x + x2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + -1.666666667x + x2 = 0 + -1.666666667
-1.666666667x + x2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
-1.666666667x + x2 = -1.666666667

The x term is -1.666666667x.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667x + 0.6944444447 + x2 = -1.666666667 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667x + x2 = -1.666666667 + 0.6944444447

Combine like terms: -1.666666667 + 0.6944444447 = -0.9722222223
0.6944444447 + -1.666666667x + x2 = -0.9722222223

Factor a perfect square on the left side:
(x + -0.8333333335)(x + -0.8333333335) = -0.9722222223

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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