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

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

Solving for variable 'x'.

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

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

Ignore the factor -1.

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 + 3x + x2 + 7x4)' equal to zero and attempt to solve:

Simplifying
3 + 3x + x2 + 7x4 = 0

Solving
3 + 3x + x2 + 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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