3x^4+2x^3-5x^2+4x^2+6x-2x-3x^4+7x^5-3x^3=0

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Solution for 3x^4+2x^3-5x^2+4x^2+6x-2x-3x^4+7x^5-3x^3=0 equation: 


Simplifying
3x4 + 2x3 + -5x2 + 4x2 + 6x + -2x + -3x4 + 7x5 + -3x3 = 0

Reorder the terms:
6x + -2x + -5x2 + 4x2 + 2x3 + -3x3 + 3x4 + -3x4 + 7x5 = 0

Combine like terms: 6x + -2x = 4x
4x + -5x2 + 4x2 + 2x3 + -3x3 + 3x4 + -3x4 + 7x5 = 0

Combine like terms: -5x2 + 4x2 = -1x2
4x + -1x2 + 2x3 + -3x3 + 3x4 + -3x4 + 7x5 = 0

Combine like terms: 2x3 + -3x3 = -1x3
4x + -1x2 + -1x3 + 3x4 + -3x4 + 7x5 = 0

Combine like terms: 3x4 + -3x4 = 0
4x + -1x2 + -1x3 + 0 + 7x5 = 0
4x + -1x2 + -1x3 + 7x5 = 0

Solving
4x + -1x2 + -1x3 + 7x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + -1x + -1x2 + 7x4) = 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 '(4 + -1x + -1x2 + 7x4)' equal to zero and attempt to solve:

Simplifying
4 + -1x + -1x2 + 7x4 = 0

Solving
4 + -1x + -1x2 + 7x4 = 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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