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

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


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

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

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

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

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

Solving
-3x + -1x2 + -1x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(3 + x + x3) = 0

Ignore the factor -1.

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 '(3 + x + x3)' equal to zero and attempt to solve:

Simplifying
3 + x + x3 = 0

Solving
3 + x + x3 = 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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