0=5x^4-10x

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Solution for 0=5x^4-10x equation: 


Simplifying
0 = 5x4 + -10x

Reorder the terms:
0 = -10x + 5x4

Solving
0 = -10x + 5x4

Solving for variable 'x'.
Remove the zero:
10x + -5x4 = -10x + 5x4 + 10x + -5x4

Reorder the terms:
10x + -5x4 = -10x + 10x + 5x4 + -5x4

Combine like terms: -10x + 10x = 0
10x + -5x4 = 0 + 5x4 + -5x4
10x + -5x4 = 5x4 + -5x4

Combine like terms: 5x4 + -5x4 = 0
10x + -5x4 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(2 + -1x3) = 0

Ignore the factor 5.

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 '(2 + -1x3)' equal to zero and attempt to solve:

Simplifying
2 + -1x3 = 0

Solving
2 + -1x3 = 0

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

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

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

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

Divide each side by '-1'.
x3 = 2

Simplifying
x3 = 2

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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