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

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


Simplifying
(3x3 + 6x4 + -4x) + -1(6x3 + -5x2 + 7x4) = 0

Reorder the terms:
(-4x + 3x3 + 6x4) + -1(6x3 + -5x2 + 7x4) = 0

Remove parenthesis around (-4x + 3x3 + 6x4)
-4x + 3x3 + 6x4 + -1(6x3 + -5x2 + 7x4) = 0

Reorder the terms:
-4x + 3x3 + 6x4 + -1(-5x2 + 6x3 + 7x4) = 0
-4x + 3x3 + 6x4 + (-5x2 * -1 + 6x3 * -1 + 7x4 * -1) = 0
-4x + 3x3 + 6x4 + (5x2 + -6x3 + -7x4) = 0

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

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

Combine like terms: 6x4 + -7x4 = -1x4
-4x + 5x2 + -3x3 + -1x4 = 0

Solving
-4x + 5x2 + -3x3 + -1x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + 5x + -3x2 + -1x3) = 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 + 5x + -3x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-4 + 5x + -3x2 + -1x3 = 0

Solving
-4 + 5x + -3x2 + -1x3 = 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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