x^2*x^3+5x^2+1=x^6+5x^4+x^2

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Solution for x^2*x^3+5x^2+1=x^6+5x^4+x^2 equation:


Simplifying
x2 * x3 + 5x2 + 1 = x6 + 5x4 + x2

Multiply x2 * x3
x5 + 5x2 + 1 = x6 + 5x4 + x2

Reorder the terms:
1 + 5x2 + x5 = x6 + 5x4 + x2

Reorder the terms:
1 + 5x2 + x5 = x2 + 5x4 + x6

Solving
1 + 5x2 + x5 = x2 + 5x4 + x6

Solving for variable 'x'.

Reorder the terms:
1 + 5x2 + -1x2 + -5x4 + x5 + -1x6 = x2 + 5x4 + x6 + -1x2 + -5x4 + -1x6

Combine like terms: 5x2 + -1x2 = 4x2
1 + 4x2 + -5x4 + x5 + -1x6 = x2 + 5x4 + x6 + -1x2 + -5x4 + -1x6

Reorder the terms:
1 + 4x2 + -5x4 + x5 + -1x6 = x2 + -1x2 + 5x4 + -5x4 + x6 + -1x6

Combine like terms: x2 + -1x2 = 0
1 + 4x2 + -5x4 + x5 + -1x6 = 0 + 5x4 + -5x4 + x6 + -1x6
1 + 4x2 + -5x4 + x5 + -1x6 = 5x4 + -5x4 + x6 + -1x6

Combine like terms: 5x4 + -5x4 = 0
1 + 4x2 + -5x4 + x5 + -1x6 = 0 + x6 + -1x6
1 + 4x2 + -5x4 + x5 + -1x6 = x6 + -1x6

Combine like terms: x6 + -1x6 = 0
1 + 4x2 + -5x4 + x5 + -1x6 = 0

The solution to this equation could not be determined.

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