4x^4-3x^3+20x=3x^4+2x^3+4x^2

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Solution for 4x^4-3x^3+20x=3x^4+2x^3+4x^2 equation: 


Simplifying
4x4 + -3x3 + 20x = 3x4 + 2x3 + 4x2

Reorder the terms:
20x + -3x3 + 4x4 = 3x4 + 2x3 + 4x2

Reorder the terms:
20x + -3x3 + 4x4 = 4x2 + 2x3 + 3x4

Solving
20x + -3x3 + 4x4 = 4x2 + 2x3 + 3x4

Solving for variable 'x'.

Reorder the terms:
20x + -4x2 + -3x3 + -2x3 + 4x4 + -3x4 = 4x2 + 2x3 + 3x4 + -4x2 + -2x3 + -3x4

Combine like terms: -3x3 + -2x3 = -5x3
20x + -4x2 + -5x3 + 4x4 + -3x4 = 4x2 + 2x3 + 3x4 + -4x2 + -2x3 + -3x4

Combine like terms: 4x4 + -3x4 = 1x4
20x + -4x2 + -5x3 + 1x4 = 4x2 + 2x3 + 3x4 + -4x2 + -2x3 + -3x4

Reorder the terms:
20x + -4x2 + -5x3 + 1x4 = 4x2 + -4x2 + 2x3 + -2x3 + 3x4 + -3x4

Combine like terms: 4x2 + -4x2 = 0
20x + -4x2 + -5x3 + 1x4 = 0 + 2x3 + -2x3 + 3x4 + -3x4
20x + -4x2 + -5x3 + 1x4 = 2x3 + -2x3 + 3x4 + -3x4

Combine like terms: 2x3 + -2x3 = 0
20x + -4x2 + -5x3 + 1x4 = 0 + 3x4 + -3x4
20x + -4x2 + -5x3 + 1x4 = 3x4 + -3x4

Combine like terms: 3x4 + -3x4 = 0
20x + -4x2 + -5x3 + 1x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(20 + -4x + -5x2 + x3) = 0


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 '(20 + -4x + -5x2 + x3)' equal to zero and attempt to solve:

Simplifying
20 + -4x + -5x2 + x3 = 0

Solving
20 + -4x + -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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