(4x^5+3x^4-5x+1)-(x^3+2x^4-x^5+1)=

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Solution for (4x^5+3x^4-5x+1)-(x^3+2x^4-x^5+1)= equation: 


Simplifying
(4x5 + 3x4 + -5x + 1) + -1(x3 + 2x4 + -1x5 + 1) = 0

Reorder the terms:
(1 + -5x + 3x4 + 4x5) + -1(x3 + 2x4 + -1x5 + 1) = 0

Remove parenthesis around (1 + -5x + 3x4 + 4x5)
1 + -5x + 3x4 + 4x5 + -1(x3 + 2x4 + -1x5 + 1) = 0

Reorder the terms:
1 + -5x + 3x4 + 4x5 + -1(1 + x3 + 2x4 + -1x5) = 0
1 + -5x + 3x4 + 4x5 + (1 * -1 + x3 * -1 + 2x4 * -1 + -1x5 * -1) = 0
1 + -5x + 3x4 + 4x5 + (-1 + -1x3 + -2x4 + 1x5) = 0

Reorder the terms:
1 + -1 + -5x + -1x3 + 3x4 + -2x4 + 4x5 + 1x5 = 0

Combine like terms: 1 + -1 = 0
0 + -5x + -1x3 + 3x4 + -2x4 + 4x5 + 1x5 = 0
-5x + -1x3 + 3x4 + -2x4 + 4x5 + 1x5 = 0

Combine like terms: 3x4 + -2x4 = 1x4
-5x + -1x3 + 1x4 + 4x5 + 1x5 = 0

Combine like terms: 4x5 + 1x5 = 5x5
-5x + -1x3 + 1x4 + 5x5 = 0

Solving
-5x + -1x3 + 1x4 + 5x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5 + -1x2 + x3 + 5x4) = 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 + -1x2 + x3 + 5x4)' equal to zero and attempt to solve:

Simplifying
-5 + -1x2 + x3 + 5x4 = 0

Solving
-5 + -1x2 + x3 + 5x4 = 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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