-5464x=5x^6+3x

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Solution for -5464x=5x^6+3x equation: 


Simplifying
-5464x = 5x6 + 3x

Reorder the terms:
-5464x = 3x + 5x6

Solving
-5464x = 3x + 5x6

Solving for variable 'x'.

Combine like terms: -5464x + -3x = -5467x
-5467x + -5x6 = 3x + 5x6 + -3x + -5x6

Reorder the terms:
-5467x + -5x6 = 3x + -3x + 5x6 + -5x6

Combine like terms: 3x + -3x = 0
-5467x + -5x6 = 0 + 5x6 + -5x6
-5467x + -5x6 = 5x6 + -5x6

Combine like terms: 5x6 + -5x6 = 0
-5467x + -5x6 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(5467 + 5x5) = 0

Ignore the factor -1.

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 '(5467 + 5x5)' equal to zero and attempt to solve:

Simplifying
5467 + 5x5 = 0

Solving
5467 + 5x5 = 0

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

Add '-5467' to each side of the equation.
5467 + -5467 + 5x5 = 0 + -5467

Combine like terms: 5467 + -5467 = 0
0 + 5x5 = 0 + -5467
5x5 = 0 + -5467

Combine like terms: 0 + -5467 = -5467
5x5 = -5467

Divide each side by '5'.
x5 = -1093.4

Simplifying
x5 = -1093.4

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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