3X^24+4X^12+7=0

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Solution for 3X^24+4X^12+7=0 equation:


Simplifying
3X24 + 4X12 + 7 = 0

Reorder the terms:
7 + 4X12 + 3X24 = 0

Solving
7 + 4X12 + 3X24 = 0

Solving for variable 'X'.

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
2.333333333 + 1.333333333X12 + X24 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + 1.333333333X12 + -2.333333333 + X24 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + 1.333333333X12 + X24 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + 1.333333333X12 + X24 = 0 + -2.333333333
1.333333333X12 + X24 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
1.333333333X12 + X24 = -2.333333333

The X term is 1.333333333X12.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333X12 + 0.4444444442 + X24 = -2.333333333 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333X12 + X24 = -2.333333333 + 0.4444444442

Combine like terms: -2.333333333 + 0.4444444442 = -1.8888888888
0.4444444442 + 1.333333333X12 + X24 = -1.8888888888

Factor a perfect square on the left side:
(X12 + 0.6666666665)(X12 + 0.6666666665) = -1.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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