(4x^2+12x)*(2x^2+7x+3)*(4x^2+3)=

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Solution for (4x^2+12x)*(2x^2+7x+3)*(4x^2+3)= equation: 


Simplifying
(4x2 + 12x)(2x2 + 7x + 3)(4x2 + 3) = 0

Reorder the terms:
(12x + 4x2)(2x2 + 7x + 3)(4x2 + 3) = 0

Reorder the terms:
(12x + 4x2)(3 + 7x + 2x2)(4x2 + 3) = 0

Reorder the terms:
(12x + 4x2)(3 + 7x + 2x2)(3 + 4x2) = 0

Multiply (12x + 4x2) * (3 + 7x + 2x2)
(12x * (3 + 7x + 2x2) + 4x2 * (3 + 7x + 2x2))(3 + 4x2) = 0
((3 * 12x + 7x * 12x + 2x2 * 12x) + 4x2 * (3 + 7x + 2x2))(3 + 4x2) = 0
((36x + 84x2 + 24x3) + 4x2 * (3 + 7x + 2x2))(3 + 4x2) = 0
(36x + 84x2 + 24x3 + (3 * 4x2 + 7x * 4x2 + 2x2 * 4x2))(3 + 4x2) = 0
(36x + 84x2 + 24x3 + (12x2 + 28x3 + 8x4))(3 + 4x2) = 0

Reorder the terms:
(36x + 84x2 + 12x2 + 24x3 + 28x3 + 8x4)(3 + 4x2) = 0

Combine like terms: 84x2 + 12x2 = 96x2
(36x + 96x2 + 24x3 + 28x3 + 8x4)(3 + 4x2) = 0

Combine like terms: 24x3 + 28x3 = 52x3
(36x + 96x2 + 52x3 + 8x4)(3 + 4x2) = 0

Multiply (36x + 96x2 + 52x3 + 8x4) * (3 + 4x2)
(36x * (3 + 4x2) + 96x2 * (3 + 4x2) + 52x3 * (3 + 4x2) + 8x4 * (3 + 4x2)) = 0
((3 * 36x + 4x2 * 36x) + 96x2 * (3 + 4x2) + 52x3 * (3 + 4x2) + 8x4 * (3 + 4x2)) = 0
((108x + 144x3) + 96x2 * (3 + 4x2) + 52x3 * (3 + 4x2) + 8x4 * (3 + 4x2)) = 0
(108x + 144x3 + (3 * 96x2 + 4x2 * 96x2) + 52x3 * (3 + 4x2) + 8x4 * (3 + 4x2)) = 0
(108x + 144x3 + (288x2 + 384x4) + 52x3 * (3 + 4x2) + 8x4 * (3 + 4x2)) = 0
(108x + 144x3 + 288x2 + 384x4 + (3 * 52x3 + 4x2 * 52x3) + 8x4 * (3 + 4x2)) = 0
(108x + 144x3 + 288x2 + 384x4 + (156x3 + 208x5) + 8x4 * (3 + 4x2)) = 0
(108x + 144x3 + 288x2 + 384x4 + 156x3 + 208x5 + (3 * 8x4 + 4x2 * 8x4)) = 0
(108x + 144x3 + 288x2 + 384x4 + 156x3 + 208x5 + (24x4 + 32x6)) = 0

Reorder the terms:
(108x + 288x2 + 144x3 + 156x3 + 384x4 + 24x4 + 208x5 + 32x6) = 0

Combine like terms: 144x3 + 156x3 = 300x3
(108x + 288x2 + 300x3 + 384x4 + 24x4 + 208x5 + 32x6) = 0

Combine like terms: 384x4 + 24x4 = 408x4
(108x + 288x2 + 300x3 + 408x4 + 208x5 + 32x6) = 0

Solving
108x + 288x2 + 300x3 + 408x4 + 208x5 + 32x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(27 + 72x + 75x2 + 102x3 + 52x4 + 8x5) = 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 '(27 + 72x + 75x2 + 102x3 + 52x4 + 8x5)' equal to zero and attempt to solve:

Simplifying
27 + 72x + 75x2 + 102x3 + 52x4 + 8x5 = 0

Solving
27 + 72x + 75x2 + 102x3 + 52x4 + 8x5 = 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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