4x^4=10x^3-8x

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Solution for 4x^4=10x^3-8x equation: 


Simplifying
4x4 = 10x3 + -8x

Reorder the terms:
4x4 = -8x + 10x3

Solving
4x4 = -8x + 10x3

Solving for variable 'x'.

Reorder the terms:
8x + -10x3 + 4x4 = -8x + 10x3 + 8x + -10x3

Reorder the terms:
8x + -10x3 + 4x4 = -8x + 8x + 10x3 + -10x3

Combine like terms: -8x + 8x = 0
8x + -10x3 + 4x4 = 0 + 10x3 + -10x3
8x + -10x3 + 4x4 = 10x3 + -10x3

Combine like terms: 10x3 + -10x3 = 0
8x + -10x3 + 4x4 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(4 + -5x2 + 2x3) = 0

Ignore the factor 2.

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 '(4 + -5x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
4 + -5x2 + 2x3 = 0

Solving
4 + -5x2 + 2x3 = 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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