x^4+6x^3+9x^2=6x^2+18x-8

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Solution for x^4+6x^3+9x^2=6x^2+18x-8 equation: 


Simplifying
x4 + 6x3 + 9x2 = 6x2 + 18x + -8

Reorder the terms:
9x2 + 6x3 + x4 = 6x2 + 18x + -8

Reorder the terms:
9x2 + 6x3 + x4 = -8 + 18x + 6x2

Solving
9x2 + 6x3 + x4 = -8 + 18x + 6x2

Solving for variable 'x'.

Reorder the terms:
8 + -18x + 9x2 + -6x2 + 6x3 + x4 = -8 + 18x + 6x2 + 8 + -18x + -6x2

Combine like terms: 9x2 + -6x2 = 3x2
8 + -18x + 3x2 + 6x3 + x4 = -8 + 18x + 6x2 + 8 + -18x + -6x2

Reorder the terms:
8 + -18x + 3x2 + 6x3 + x4 = -8 + 8 + 18x + -18x + 6x2 + -6x2

Combine like terms: -8 + 8 = 0
8 + -18x + 3x2 + 6x3 + x4 = 0 + 18x + -18x + 6x2 + -6x2
8 + -18x + 3x2 + 6x3 + x4 = 18x + -18x + 6x2 + -6x2

Combine like terms: 18x + -18x = 0
8 + -18x + 3x2 + 6x3 + x4 = 0 + 6x2 + -6x2
8 + -18x + 3x2 + 6x3 + x4 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
8 + -18x + 3x2 + 6x3 + x4 = 0

The solution to this equation could not be determined.

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