2x-8=2x(3x-3)

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Solution for 2x-8=2x(3x-3) equation: 


Simplifying
2x + -8 = 2x(3x + -3)

Reorder the terms:
-8 + 2x = 2x(3x + -3)

Reorder the terms:
-8 + 2x = 2x(-3 + 3x)
-8 + 2x = (-3 * 2x + 3x * 2x)
-8 + 2x = (-6x + 6x2)

Solving
-8 + 2x = -6x + 6x2

Solving for variable 'x'.

Combine like terms: 2x + 6x = 8x
-8 + 8x + -6x2 = -6x + 6x2 + 6x + -6x2

Reorder the terms:
-8 + 8x + -6x2 = -6x + 6x + 6x2 + -6x2

Combine like terms: -6x + 6x = 0
-8 + 8x + -6x2 = 0 + 6x2 + -6x2
-8 + 8x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-8 + 8x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 4x + -3x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + 4x + -3x2)' equal to zero and attempt to solve:

Simplifying
-4 + 4x + -3x2 = 0

Solving
-4 + 4x + -3x2 = 0

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

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

Move the constant term to the right:

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

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

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -1.333333333x + x2 = 0 + -1.333333333
-1.333333333x + x2 = 0 + -1.333333333

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

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 = -1.333333333 + 0.4444444442

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

Combine like terms: -1.333333333 + 0.4444444442 = -0.8888888888
0.4444444442 + -1.333333333x + x2 = -0.8888888888

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -0.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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