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

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


Simplifying
2x[4x2 + -4(x + -2)] = 0

Reorder the terms:
2x[4x2 + -4(-2 + x)] = 0
2x[4x2 + (-2 * -4 + x * -4)] = 0
2x[4x2 + (8 + -4x)] = 0

Reorder the terms:
2x[8 + -4x + 4x2] = 0
[8 * 2x + -4x * 2x + 4x2 * 2x] = 0
[16x + -8x2 + 8x3] = 0

Solving
16x + -8x2 + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x'.
8x(2 + -1x + x2) = 0

Ignore the factor 8.

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 '(2 + -1x + x2)' equal to zero and attempt to solve:

Simplifying
2 + -1x + x2 = 0

Solving
2 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -1x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -1x + x2 = 0 + -2

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

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

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 = -2 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -2 + 0.25

Combine like terms: -2 + 0.25 = -1.75
0.25 + -1x + x2 = -1.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -1.75

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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