(3x^6+7x^4-x^3+8x)+(-x^6+3x^3-7x^2+7x^4)=

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Solution for (3x^6+7x^4-x^3+8x)+(-x^6+3x^3-7x^2+7x^4)= equation: 


Simplifying
(3x6 + 7x4 + -1x3 + 8x) + (-1x6 + 3x3 + -7x2 + 7x4) = 0

Reorder the terms:
(8x + -1x3 + 7x4 + 3x6) + (-1x6 + 3x3 + -7x2 + 7x4) = 0

Remove parenthesis around (8x + -1x3 + 7x4 + 3x6)
8x + -1x3 + 7x4 + 3x6 + (-1x6 + 3x3 + -7x2 + 7x4) = 0

Reorder the terms:
8x + -1x3 + 7x4 + 3x6 + (-7x2 + 3x3 + 7x4 + -1x6) = 0

Remove parenthesis around (-7x2 + 3x3 + 7x4 + -1x6)
8x + -1x3 + 7x4 + 3x6 + -7x2 + 3x3 + 7x4 + -1x6 = 0

Reorder the terms:
8x + -7x2 + -1x3 + 3x3 + 7x4 + 7x4 + 3x6 + -1x6 = 0

Combine like terms: -1x3 + 3x3 = 2x3
8x + -7x2 + 2x3 + 7x4 + 7x4 + 3x6 + -1x6 = 0

Combine like terms: 7x4 + 7x4 = 14x4
8x + -7x2 + 2x3 + 14x4 + 3x6 + -1x6 = 0

Combine like terms: 3x6 + -1x6 = 2x6
8x + -7x2 + 2x3 + 14x4 + 2x6 = 0

Solving
8x + -7x2 + 2x3 + 14x4 + 2x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + -7x + 2x2 + 14x3 + 2x5) = 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 '(8 + -7x + 2x2 + 14x3 + 2x5)' equal to zero and attempt to solve:

Simplifying
8 + -7x + 2x2 + 14x3 + 2x5 = 0

Solving
8 + -7x + 2x2 + 14x3 + 2x5 = 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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