3x^4+2x^3+4x^2+6x^3+4x^2+8x+9x^2+6x+12=3x^4+6x^2+3

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Solution for 3x^4+2x^3+4x^2+6x^3+4x^2+8x+9x^2+6x+12=3x^4+6x^2+3 equation: 


Simplifying
3x4 + 2x3 + 4x2 + 6x3 + 4x2 + 8x + 9x2 + 6x + 12 = 3x4 + 6x2 + 3

Reorder the terms:
12 + 8x + 6x + 4x2 + 4x2 + 9x2 + 2x3 + 6x3 + 3x4 = 3x4 + 6x2 + 3

Combine like terms: 8x + 6x = 14x
12 + 14x + 4x2 + 4x2 + 9x2 + 2x3 + 6x3 + 3x4 = 3x4 + 6x2 + 3

Combine like terms: 4x2 + 4x2 = 8x2
12 + 14x + 8x2 + 9x2 + 2x3 + 6x3 + 3x4 = 3x4 + 6x2 + 3

Combine like terms: 8x2 + 9x2 = 17x2
12 + 14x + 17x2 + 2x3 + 6x3 + 3x4 = 3x4 + 6x2 + 3

Combine like terms: 2x3 + 6x3 = 8x3
12 + 14x + 17x2 + 8x3 + 3x4 = 3x4 + 6x2 + 3

Reorder the terms:
12 + 14x + 17x2 + 8x3 + 3x4 = 3 + 6x2 + 3x4

Add '-3x4' to each side of the equation.
12 + 14x + 17x2 + 8x3 + 3x4 + -3x4 = 3 + 6x2 + 3x4 + -3x4

Combine like terms: 3x4 + -3x4 = 0
12 + 14x + 17x2 + 8x3 + 0 = 3 + 6x2 + 3x4 + -3x4
12 + 14x + 17x2 + 8x3 = 3 + 6x2 + 3x4 + -3x4

Combine like terms: 3x4 + -3x4 = 0
12 + 14x + 17x2 + 8x3 = 3 + 6x2 + 0
12 + 14x + 17x2 + 8x3 = 3 + 6x2

Solving
12 + 14x + 17x2 + 8x3 = 3 + 6x2

Solving for variable 'x'.

Reorder the terms:
12 + -3 + 14x + 17x2 + -6x2 + 8x3 = 3 + 6x2 + -3 + -6x2

Combine like terms: 12 + -3 = 9
9 + 14x + 17x2 + -6x2 + 8x3 = 3 + 6x2 + -3 + -6x2

Combine like terms: 17x2 + -6x2 = 11x2
9 + 14x + 11x2 + 8x3 = 3 + 6x2 + -3 + -6x2

Reorder the terms:
9 + 14x + 11x2 + 8x3 = 3 + -3 + 6x2 + -6x2

Combine like terms: 3 + -3 = 0
9 + 14x + 11x2 + 8x3 = 0 + 6x2 + -6x2
9 + 14x + 11x2 + 8x3 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
9 + 14x + 11x2 + 8x3 = 0

The solution to this equation could not be determined.

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