x^5+35x^3-50x^2=10x^4-24x

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Solution for x^5+35x^3-50x^2=10x^4-24x equation: 


Simplifying
x5 + 35x3 + -50x2 = 10x4 + -24x

Reorder the terms:
-50x2 + 35x3 + x5 = 10x4 + -24x

Reorder the terms:
-50x2 + 35x3 + x5 = -24x + 10x4

Solving
-50x2 + 35x3 + x5 = -24x + 10x4

Solving for variable 'x'.

Reorder the terms:
24x + -50x2 + 35x3 + -10x4 + x5 = -24x + 10x4 + 24x + -10x4

Reorder the terms:
24x + -50x2 + 35x3 + -10x4 + x5 = -24x + 24x + 10x4 + -10x4

Combine like terms: -24x + 24x = 0
24x + -50x2 + 35x3 + -10x4 + x5 = 0 + 10x4 + -10x4
24x + -50x2 + 35x3 + -10x4 + x5 = 10x4 + -10x4

Combine like terms: 10x4 + -10x4 = 0
24x + -50x2 + 35x3 + -10x4 + x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(24 + -50x + 35x2 + -10x3 + x4) = 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 '(24 + -50x + 35x2 + -10x3 + x4)' equal to zero and attempt to solve:

Simplifying
24 + -50x + 35x2 + -10x3 + x4 = 0

Solving
24 + -50x + 35x2 + -10x3 + x4 = 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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