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

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


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

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

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

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

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

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

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

Combine like terms: 7x4 + 7x4 = 14x4
-6x + 1x3 + 14x4 = 0

Solving
-6x + 1x3 + 14x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + x2 + 14x3) = 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 '(-6 + x2 + 14x3)' equal to zero and attempt to solve:

Simplifying
-6 + x2 + 14x3 = 0

Solving
-6 + x2 + 14x3 = 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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