4x^20=10x+3x^4

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Solution for 4x^20=10x+3x^4 equation: 


Simplifying
4x20 = 10x + 3x4

Solving
4x20 = 10x + 3x4

Solving for variable 'x'.

Reorder the terms:
-10x + -3x4 + 4x20 = 10x + 3x4 + -10x + -3x4

Reorder the terms:
-10x + -3x4 + 4x20 = 10x + -10x + 3x4 + -3x4

Combine like terms: 10x + -10x = 0
-10x + -3x4 + 4x20 = 0 + 3x4 + -3x4
-10x + -3x4 + 4x20 = 3x4 + -3x4

Combine like terms: 3x4 + -3x4 = 0
-10x + -3x4 + 4x20 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-10 + -3x3 + 4x19) = 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 '(-10 + -3x3 + 4x19)' equal to zero and attempt to solve:

Simplifying
-10 + -3x3 + 4x19 = 0

Solving
-10 + -3x3 + 4x19 = 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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