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

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


Simplifying
(2x7 + 4x4 + -2x + 3) + -1(4x4 + -2x3 + 3) = 0

Reorder the terms:
(3 + -2x + 4x4 + 2x7) + -1(4x4 + -2x3 + 3) = 0

Remove parenthesis around (3 + -2x + 4x4 + 2x7)
3 + -2x + 4x4 + 2x7 + -1(4x4 + -2x3 + 3) = 0

Reorder the terms:
3 + -2x + 4x4 + 2x7 + -1(3 + -2x3 + 4x4) = 0
3 + -2x + 4x4 + 2x7 + (3 * -1 + -2x3 * -1 + 4x4 * -1) = 0
3 + -2x + 4x4 + 2x7 + (-3 + 2x3 + -4x4) = 0

Reorder the terms:
3 + -3 + -2x + 2x3 + 4x4 + -4x4 + 2x7 = 0

Combine like terms: 3 + -3 = 0
0 + -2x + 2x3 + 4x4 + -4x4 + 2x7 = 0
-2x + 2x3 + 4x4 + -4x4 + 2x7 = 0

Combine like terms: 4x4 + -4x4 = 0
-2x + 2x3 + 0 + 2x7 = 0
-2x + 2x3 + 2x7 = 0

Solving
-2x + 2x3 + 2x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-1 + x2 + x6) = 0

Ignore the factor 2.

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 '(-1 + x2 + x6)' equal to zero and attempt to solve:

Simplifying
-1 + x2 + x6 = 0

Solving
-1 + x2 + x6 = 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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