3X(x^4-12x^3+52x^2-96x+64)=0

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Solution for 3X(x^4-12x^3+52x^2-96x+64)=0 equation: 


Simplifying
3X(x4 + -12x3 + 52x2 + -96x + 64) = 0

Reorder the terms:
3X(64 + -96x + 52x2 + -12x3 + x4) = 0
(64 * 3X + -96x * 3X + 52x2 * 3X + -12x3 * 3X + x4 * 3X) = 0
(192X + -288xX + 156x2X + -36x3X + 3x4X) = 0

Solving
192X + -288xX + 156x2X + -36x3X + 3x4X = 0

Solving for variable 'X'.

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

Factor out the Greatest Common Factor (GCF), '3X'.
3X(64 + -96x + 52x2 + -12x3 + x4) = 0

Ignore the factor 3.

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 '(64 + -96x + 52x2 + -12x3 + x4)' equal to zero and attempt to solve:

Simplifying
64 + -96x + 52x2 + -12x3 + x4 = 0

Solving
64 + -96x + 52x2 + -12x3 + x4 = 0

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

Add '-64' to each side of the equation.
64 + -96x + 52x2 + -12x3 + -64 + x4 = 0 + -64

Reorder the terms:
64 + -64 + -96x + 52x2 + -12x3 + x4 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -96x + 52x2 + -12x3 + x4 = 0 + -64
-96x + 52x2 + -12x3 + x4 = 0 + -64

Combine like terms: 0 + -64 = -64
-96x + 52x2 + -12x3 + x4 = -64

Add '96x' to each side of the equation.
-96x + 52x2 + -12x3 + 96x + x4 = -64 + 96x

Reorder the terms:
-96x + 96x + 52x2 + -12x3 + x4 = -64 + 96x

Combine like terms: -96x + 96x = 0
0 + 52x2 + -12x3 + x4 = -64 + 96x
52x2 + -12x3 + x4 = -64 + 96x

Add '-52x2' to each side of the equation.
52x2 + -12x3 + -52x2 + x4 = -64 + 96x + -52x2

Reorder the terms:
52x2 + -52x2 + -12x3 + x4 = -64 + 96x + -52x2

Combine like terms: 52x2 + -52x2 = 0
0 + -12x3 + x4 = -64 + 96x + -52x2
-12x3 + x4 = -64 + 96x + -52x2

Add '12x3' to each side of the equation.
-12x3 + 12x3 + x4 = -64 + 96x + -52x2 + 12x3

Combine like terms: -12x3 + 12x3 = 0
0 + x4 = -64 + 96x + -52x2 + 12x3
x4 = -64 + 96x + -52x2 + 12x3

Add '-1x4' to each side of the equation.
x4 + -1x4 = -64 + 96x + -52x2 + 12x3 + -1x4

Combine like terms: x4 + -1x4 = 0
0 = -64 + 96x + -52x2 + 12x3 + -1x4

Simplifying
0 = -64 + 96x + -52x2 + 12x3 + -1x4

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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