4x(3x+1)(4x^2-4x+1)=0

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Solution for 4x(3x+1)(4x^2-4x+1)=0 equation: 


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

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

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

Multiply (1 + 3x) * (1 + -4x + 4x2)
4x(1(1 + -4x + 4x2) + 3x * (1 + -4x + 4x2)) = 0
4x((1 * 1 + -4x * 1 + 4x2 * 1) + 3x * (1 + -4x + 4x2)) = 0
4x((1 + -4x + 4x2) + 3x * (1 + -4x + 4x2)) = 0
4x(1 + -4x + 4x2 + (1 * 3x + -4x * 3x + 4x2 * 3x)) = 0
4x(1 + -4x + 4x2 + (3x + -12x2 + 12x3)) = 0

Reorder the terms:
4x(1 + -4x + 3x + 4x2 + -12x2 + 12x3) = 0

Combine like terms: -4x + 3x = -1x
4x(1 + -1x + 4x2 + -12x2 + 12x3) = 0

Combine like terms: 4x2 + -12x2 = -8x2
4x(1 + -1x + -8x2 + 12x3) = 0
(1 * 4x + -1x * 4x + -8x2 * 4x + 12x3 * 4x) = 0
(4x + -4x2 + -32x3 + 48x4) = 0

Solving
4x + -4x2 + -32x3 + 48x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(1 + -1x + -8x2 + 12x3) = 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 '(1 + -1x + -8x2 + 12x3)' equal to zero and attempt to solve:

Simplifying
1 + -1x + -8x2 + 12x3 = 0

Solving
1 + -1x + -8x2 + 12x3 = 0

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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