5x=2+x+2(x*x)+4*(x*x*x)

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Solution for 5x=2+x+2(x*x)+4*(x*x*x) equation: 


Simplifying
5x = 2 + x + 2(x * x) + 4(x * x * x)

Multiply x * x
5x = 2 + x + 2(x2) + 4(x * x * x)

Multiply x * x
5x = 2 + x + 2x2 + 4(x2 * x)

Multiply x2 * x
5x = 2 + x + 2x2 + 4(x3)

Solving
5x = 2 + x + 2x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-2 + 5x + -1x + -2x2 + -4x3 = 2 + x + 2x2 + 4x3 + -2 + -1x + -2x2 + -4x3

Combine like terms: 5x + -1x = 4x
-2 + 4x + -2x2 + -4x3 = 2 + x + 2x2 + 4x3 + -2 + -1x + -2x2 + -4x3

Reorder the terms:
-2 + 4x + -2x2 + -4x3 = 2 + -2 + x + -1x + 2x2 + -2x2 + 4x3 + -4x3

Combine like terms: 2 + -2 = 0
-2 + 4x + -2x2 + -4x3 = 0 + x + -1x + 2x2 + -2x2 + 4x3 + -4x3
-2 + 4x + -2x2 + -4x3 = x + -1x + 2x2 + -2x2 + 4x3 + -4x3

Combine like terms: x + -1x = 0
-2 + 4x + -2x2 + -4x3 = 0 + 2x2 + -2x2 + 4x3 + -4x3
-2 + 4x + -2x2 + -4x3 = 2x2 + -2x2 + 4x3 + -4x3

Combine like terms: 2x2 + -2x2 = 0
-2 + 4x + -2x2 + -4x3 = 0 + 4x3 + -4x3
-2 + 4x + -2x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-2 + 4x + -2x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 2x + -1x2 + -2x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + 2x + -1x2 + -2x3)' equal to zero and attempt to solve:

Simplifying
-1 + 2x + -1x2 + -2x3 = 0

Solving
-1 + 2x + -1x2 + -2x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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