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

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


Simplifying
x3 + -1x4 + 3x2 + 4x3 = 7x6

Reorder the terms:
3x2 + x3 + 4x3 + -1x4 = 7x6

Combine like terms: x3 + 4x3 = 5x3
3x2 + 5x3 + -1x4 = 7x6

Solving
3x2 + 5x3 + -1x4 = 7x6

Solving for variable 'x'.

Combine like terms: 7x6 + -7x6 = 0
3x2 + 5x3 + -1x4 + -7x6 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(3 + 5x + -1x2 + -7x4) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(3 + 5x + -1x2 + -7x4)' equal to zero and attempt to solve:

Simplifying
3 + 5x + -1x2 + -7x4 = 0

Solving
3 + 5x + -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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