x^4+2x^43=10x^2

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Solution for x^4+2x^43=10x^2 equation: 


Simplifying
x4 + 2x43 = 10x2

Solving
x4 + 2x43 = 10x2

Solving for variable 'x'.

Reorder the terms:
-10x2 + x4 + 2x43 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
-10x2 + x4 + 2x43 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-10 + x2 + 2x41) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-10 + x2 + 2x41)' equal to zero and attempt to solve:

Simplifying
-10 + x2 + 2x41 = 0

Solving
-10 + x2 + 2x41 = 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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