(5x+x^4)-(3x^4+4x)=0

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Solution for (5x+x^4)-(3x^4+4x)=0 equation: 


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

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

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

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

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

Combine like terms: x4 + -3x4 = -2x4
1x + -2x4 = 0

Solving
1x + -2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + -2x3) = 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 '(1 + -2x3)' equal to zero and attempt to solve:

Simplifying
1 + -2x3 = 0

Solving
1 + -2x3 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -2x3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x3 = 0 + -1
-2x3 = 0 + -1

Combine like terms: 0 + -1 = -1
-2x3 = -1

Divide each side by '-2'.
x3 = 0.5

Simplifying
x3 = 0.5

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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