(1-x)(3x-1)=8

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Solution for (1-x)(3x-1)=8 equation: 


Simplifying
(1 + -1x)(3x + -1) = 8

Reorder the terms:
(1 + -1x)(-1 + 3x) = 8

Multiply (1 + -1x) * (-1 + 3x)
(1(-1 + 3x) + -1x * (-1 + 3x)) = 8
((-1 * 1 + 3x * 1) + -1x * (-1 + 3x)) = 8
((-1 + 3x) + -1x * (-1 + 3x)) = 8
(-1 + 3x + (-1 * -1x + 3x * -1x)) = 8
(-1 + 3x + (1x + -3x2)) = 8

Combine like terms: 3x + 1x = 4x
(-1 + 4x + -3x2) = 8

Solving
-1 + 4x + -3x2 = 8

Solving for variable 'x'.

Reorder the terms:
-1 + -8 + 4x + -3x2 = 8 + -8

Combine like terms: -1 + -8 = -9
-9 + 4x + -3x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-9 + 4x + -3x2 = 0

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

Divide each side by '-3'.
3 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -1.333333333x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -1.333333333x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1.333333333x + x2 = 0 + -3
-1.333333333x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1.333333333x + x2 = -3

The x term is -1.333333333x.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333x + 0.4444444442 + x2 = -3 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -3 + 0.4444444442

Combine like terms: -3 + 0.4444444442 = -2.5555555558
0.4444444442 + -1.333333333x + x2 = -2.5555555558

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -2.5555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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