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

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


Simplifying
(3x7 + 6x4 + -5x + 7) + -1(6x4 + -5x3 + 7) = 0

Reorder the terms:
(7 + -5x + 6x4 + 3x7) + -1(6x4 + -5x3 + 7) = 0

Remove parenthesis around (7 + -5x + 6x4 + 3x7)
7 + -5x + 6x4 + 3x7 + -1(6x4 + -5x3 + 7) = 0

Reorder the terms:
7 + -5x + 6x4 + 3x7 + -1(7 + -5x3 + 6x4) = 0
7 + -5x + 6x4 + 3x7 + (7 * -1 + -5x3 * -1 + 6x4 * -1) = 0
7 + -5x + 6x4 + 3x7 + (-7 + 5x3 + -6x4) = 0

Reorder the terms:
7 + -7 + -5x + 5x3 + 6x4 + -6x4 + 3x7 = 0

Combine like terms: 7 + -7 = 0
0 + -5x + 5x3 + 6x4 + -6x4 + 3x7 = 0
-5x + 5x3 + 6x4 + -6x4 + 3x7 = 0

Combine like terms: 6x4 + -6x4 = 0
-5x + 5x3 + 0 + 3x7 = 0
-5x + 5x3 + 3x7 = 0

Solving
-5x + 5x3 + 3x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5 + 5x2 + 3x6) = 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 '(-5 + 5x2 + 3x6)' equal to zero and attempt to solve:

Simplifying
-5 + 5x2 + 3x6 = 0

Solving
-5 + 5x2 + 3x6 = 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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