3x^4-4x^3-12x^2+44x=x^4+6x^3+24x^2-100x

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Solution for 3x^4-4x^3-12x^2+44x=x^4+6x^3+24x^2-100x equation: 


Simplifying
3x4 + -4x3 + -12x2 + 44x = x4 + 6x3 + 24x2 + -100x

Reorder the terms:
44x + -12x2 + -4x3 + 3x4 = x4 + 6x3 + 24x2 + -100x

Reorder the terms:
44x + -12x2 + -4x3 + 3x4 = -100x + 24x2 + 6x3 + x4

Solving
44x + -12x2 + -4x3 + 3x4 = -100x + 24x2 + 6x3 + x4

Solving for variable 'x'.

Reorder the terms:
44x + 100x + -12x2 + -24x2 + -4x3 + -6x3 + 3x4 + -1x4 = -100x + 24x2 + 6x3 + x4 + 100x + -24x2 + -6x3 + -1x4

Combine like terms: 44x + 100x = 144x
144x + -12x2 + -24x2 + -4x3 + -6x3 + 3x4 + -1x4 = -100x + 24x2 + 6x3 + x4 + 100x + -24x2 + -6x3 + -1x4

Combine like terms: -12x2 + -24x2 = -36x2
144x + -36x2 + -4x3 + -6x3 + 3x4 + -1x4 = -100x + 24x2 + 6x3 + x4 + 100x + -24x2 + -6x3 + -1x4

Combine like terms: -4x3 + -6x3 = -10x3
144x + -36x2 + -10x3 + 3x4 + -1x4 = -100x + 24x2 + 6x3 + x4 + 100x + -24x2 + -6x3 + -1x4

Combine like terms: 3x4 + -1x4 = 2x4
144x + -36x2 + -10x3 + 2x4 = -100x + 24x2 + 6x3 + x4 + 100x + -24x2 + -6x3 + -1x4

Reorder the terms:
144x + -36x2 + -10x3 + 2x4 = -100x + 100x + 24x2 + -24x2 + 6x3 + -6x3 + x4 + -1x4

Combine like terms: -100x + 100x = 0
144x + -36x2 + -10x3 + 2x4 = 0 + 24x2 + -24x2 + 6x3 + -6x3 + x4 + -1x4
144x + -36x2 + -10x3 + 2x4 = 24x2 + -24x2 + 6x3 + -6x3 + x4 + -1x4

Combine like terms: 24x2 + -24x2 = 0
144x + -36x2 + -10x3 + 2x4 = 0 + 6x3 + -6x3 + x4 + -1x4
144x + -36x2 + -10x3 + 2x4 = 6x3 + -6x3 + x4 + -1x4

Combine like terms: 6x3 + -6x3 = 0
144x + -36x2 + -10x3 + 2x4 = 0 + x4 + -1x4
144x + -36x2 + -10x3 + 2x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
144x + -36x2 + -10x3 + 2x4 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(72 + -18x + -5x2 + x3) = 0

Ignore the factor 2.

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 '(72 + -18x + -5x2 + x3)' equal to zero and attempt to solve:

Simplifying
72 + -18x + -5x2 + x3 = 0

Solving
72 + -18x + -5x2 + x3 = 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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