(4x^3)(2x^2-4x+4)=

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Solution for (4x^3)(2x^2-4x+4)= equation: 


Simplifying
(4x3)(2x2 + -4x + 4) = 0

Remove parenthesis around (4x3)
4x3(2x2 + -4x + 4) = 0

Reorder the terms:
4x3(4 + -4x + 2x2) = 0
(4 * 4x3 + -4x * 4x3 + 2x2 * 4x3) = 0
(16x3 + -16x4 + 8x5) = 0

Solving
16x3 + -16x4 + 8x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x3'.
8x3(2 + -2x + x2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

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

Simplifying
x3 = 0

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(2 + -2x + x2)' equal to zero and attempt to solve:

Simplifying
2 + -2x + x2 = 0

Solving
2 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

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

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

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

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

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

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

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

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

Factor a perfect square on the left side:
(x + -1)(x + -1) = -1

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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