0=6x^4+2x^3-12x^2+3

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Solution for 0=6x^4+2x^3-12x^2+3 equation: 


Simplifying
0 = 6x4 + 2x3 + -12x2 + 3

Reorder the terms:
0 = 3 + -12x2 + 2x3 + 6x4

Solving
0 = 3 + -12x2 + 2x3 + 6x4

Solving for variable 'x'.

Combine like terms: 0 + -3 = -3
-3 + 12x2 + -2x3 + -6x4 = 3 + -12x2 + 2x3 + 6x4 + -3 + 12x2 + -2x3 + -6x4

Reorder the terms:
-3 + 12x2 + -2x3 + -6x4 = 3 + -3 + -12x2 + 12x2 + 2x3 + -2x3 + 6x4 + -6x4

Combine like terms: 3 + -3 = 0
-3 + 12x2 + -2x3 + -6x4 = 0 + -12x2 + 12x2 + 2x3 + -2x3 + 6x4 + -6x4
-3 + 12x2 + -2x3 + -6x4 = -12x2 + 12x2 + 2x3 + -2x3 + 6x4 + -6x4

Combine like terms: -12x2 + 12x2 = 0
-3 + 12x2 + -2x3 + -6x4 = 0 + 2x3 + -2x3 + 6x4 + -6x4
-3 + 12x2 + -2x3 + -6x4 = 2x3 + -2x3 + 6x4 + -6x4

Combine like terms: 2x3 + -2x3 = 0
-3 + 12x2 + -2x3 + -6x4 = 0 + 6x4 + -6x4
-3 + 12x2 + -2x3 + -6x4 = 6x4 + -6x4

Combine like terms: 6x4 + -6x4 = 0
-3 + 12x2 + -2x3 + -6x4 = 0

The solution to this equation could not be determined.

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