(x^5-x^4+3x^3+x^2)-(9x^5-4x^4+3x^3-5x)=

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Solution for (x^5-x^4+3x^3+x^2)-(9x^5-4x^4+3x^3-5x)= equation: 


Simplifying
(x5 + -1x4 + 3x3 + x2) + -1(9x5 + -4x4 + 3x3 + -5x) = 0

Reorder the terms:
(x2 + 3x3 + -1x4 + x5) + -1(9x5 + -4x4 + 3x3 + -5x) = 0

Remove parenthesis around (x2 + 3x3 + -1x4 + x5)
x2 + 3x3 + -1x4 + x5 + -1(9x5 + -4x4 + 3x3 + -5x) = 0

Reorder the terms:
x2 + 3x3 + -1x4 + x5 + -1(-5x + 3x3 + -4x4 + 9x5) = 0
x2 + 3x3 + -1x4 + x5 + (-5x * -1 + 3x3 * -1 + -4x4 * -1 + 9x5 * -1) = 0
x2 + 3x3 + -1x4 + x5 + (5x + -3x3 + 4x4 + -9x5) = 0

Reorder the terms:
5x + x2 + 3x3 + -3x3 + -1x4 + 4x4 + x5 + -9x5 = 0

Combine like terms: 3x3 + -3x3 = 0
5x + x2 + 0 + -1x4 + 4x4 + x5 + -9x5 = 0
5x + x2 + -1x4 + 4x4 + x5 + -9x5 = 0

Combine like terms: -1x4 + 4x4 = 3x4
5x + x2 + 3x4 + x5 + -9x5 = 0

Combine like terms: x5 + -9x5 = -8x5
5x + x2 + 3x4 + -8x5 = 0

Solving
5x + x2 + 3x4 + -8x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + x + 3x3 + -8x4) = 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 + x + 3x3 + -8x4)' equal to zero and attempt to solve:

Simplifying
5 + x + 3x3 + -8x4 = 0

Solving
5 + x + 3x3 + -8x4 = 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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