4x[3x^2-4(x-1)]=

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Solution for 4x[3x^2-4(x-1)]= equation: 


Simplifying
4x[3x2 + -4(x + -1)] = 0

Reorder the terms:
4x[3x2 + -4(-1 + x)] = 0
4x[3x2 + (-1 * -4 + x * -4)] = 0
4x[3x2 + (4 + -4x)] = 0

Reorder the terms:
4x[4 + -4x + 3x2] = 0
[4 * 4x + -4x * 4x + 3x2 * 4x] = 0
[16x + -16x2 + 12x3] = 0

Solving
16x + -16x2 + 12x3 = 0

Solving for variable 'x'.

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

Ignore the factor 4.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
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.
Solution
x = {0}

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