(X^2+3)(x^2+3)(6)-(6x)(2(x^2+3))=0

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Solution for (X^2+3)(x^2+3)(6)-(6x)(2(x^2+3))=0 equation: 


Simplifying
(X2 + 3)(x2 + 3)(6) + -1(6x)(2(x2 + 3)) = 0

Reorder the terms:
(3 + X2)(x2 + 3)(6) + -1(6x)(2(x2 + 3)) = 0

Reorder the terms:
(3 + X2)(3 + x2)(6) + -1(6x)(2(x2 + 3)) = 0

Reorder the terms for easier multiplication:
6(3 + X2)(3 + x2) + -1(6x)(2(x2 + 3)) = 0

Multiply (3 + X2) * (3 + x2)
6(3(3 + x2) + X2(3 + x2)) + -1(6x)(2(x2 + 3)) = 0
6((3 * 3 + x2 * 3) + X2(3 + x2)) + -1(6x)(2(x2 + 3)) = 0
6((9 + 3x2) + X2(3 + x2)) + -1(6x)(2(x2 + 3)) = 0
6(9 + 3x2 + (3 * X2 + x2 * X2)) + -1(6x)(2(x2 + 3)) = 0
6(9 + 3x2 + (3X2 + x2X2)) + -1(6x)(2(x2 + 3)) = 0

Reorder the terms:
6(9 + 3X2 + 3x2 + x2X2) + -1(6x)(2(x2 + 3)) = 0
6(9 + 3X2 + 3x2 + x2X2) + -1(6x)(2(x2 + 3)) = 0
(9 * 6 + 3X2 * 6 + 3x2 * 6 + x2X2 * 6) + -1(6x)(2(x2 + 3)) = 0
(54 + 18X2 + 18x2 + 6x2X2) + -1(6x)(2(x2 + 3)) = 0

Remove parenthesis around (6x)
54 + 18X2 + 18x2 + 6x2X2 + -1 * 6x(2(x2 + 3)) = 0

Reorder the terms:
54 + 18X2 + 18x2 + 6x2X2 + -1 * 6x(2(3 + x2)) = 0
54 + 18X2 + 18x2 + 6x2X2 + -1 * 6x((3 * 2 + x2 * 2)) = 0
54 + 18X2 + 18x2 + 6x2X2 + -1 * 6x((6 + 2x2)) = 0

Multiply -1 * 6
54 + 18X2 + 18x2 + 6x2X2 + -6x(6 + 2x2) = 0
54 + 18X2 + 18x2 + 6x2X2 + (6 * -6x + 2x2 * -6x) = 0
54 + 18X2 + 18x2 + 6x2X2 + (-36x + -12x3) = 0

Reorder the terms:
54 + 18X2 + -36x + 18x2 + 6x2X2 + -12x3 = 0

Solving
54 + 18X2 + -36x + 18x2 + 6x2X2 + -12x3 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-54' to each side of the equation.
54 + 18X2 + -36x + 18x2 + 6x2X2 + -54 + -12x3 = 0 + -54

Reorder the terms:
54 + -54 + 18X2 + -36x + 18x2 + 6x2X2 + -12x3 = 0 + -54

Combine like terms: 54 + -54 = 0
0 + 18X2 + -36x + 18x2 + 6x2X2 + -12x3 = 0 + -54
18X2 + -36x + 18x2 + 6x2X2 + -12x3 = 0 + -54

Combine like terms: 0 + -54 = -54
18X2 + -36x + 18x2 + 6x2X2 + -12x3 = -54

Add '36x' to each side of the equation.
18X2 + -36x + 18x2 + 6x2X2 + 36x + -12x3 = -54 + 36x

Reorder the terms:
18X2 + -36x + 36x + 18x2 + 6x2X2 + -12x3 = -54 + 36x

Combine like terms: -36x + 36x = 0
18X2 + 0 + 18x2 + 6x2X2 + -12x3 = -54 + 36x
18X2 + 18x2 + 6x2X2 + -12x3 = -54 + 36x

Add '-18x2' to each side of the equation.
18X2 + 18x2 + 6x2X2 + -18x2 + -12x3 = -54 + 36x + -18x2

Reorder the terms:
18X2 + 18x2 + -18x2 + 6x2X2 + -12x3 = -54 + 36x + -18x2

Combine like terms: 18x2 + -18x2 = 0
18X2 + 0 + 6x2X2 + -12x3 = -54 + 36x + -18x2
18X2 + 6x2X2 + -12x3 = -54 + 36x + -18x2

Add '12x3' to each side of the equation.
18X2 + 6x2X2 + -12x3 + 12x3 = -54 + 36x + -18x2 + 12x3

Combine like terms: -12x3 + 12x3 = 0
18X2 + 6x2X2 + 0 = -54 + 36x + -18x2 + 12x3
18X2 + 6x2X2 = -54 + 36x + -18x2 + 12x3

Reorder the terms:
54 + 18X2 + -36x + 18x2 + 6x2X2 + -12x3 = -54 + 36x + -18x2 + 12x3 + 54 + -36x + 18x2 + -12x3

Reorder the terms:
54 + 18X2 + -36x + 18x2 + 6x2X2 + -12x3 = -54 + 54 + 36x + -36x + -18x2 + 18x2 + 12x3 + -12x3

Combine like terms: -54 + 54 = 0
54 + 18X2 + -36x + 18x2 + 6x2X2 + -12x3 = 0 + 36x + -36x + -18x2 + 18x2 + 12x3 + -12x3
54 + 18X2 + -36x + 18x2 + 6x2X2 + -12x3 = 36x + -36x + -18x2 + 18x2 + 12x3 + -12x3

Combine like terms: 36x + -36x = 0
54 + 18X2 + -36x + 18x2 + 6x2X2 + -12x3 = 0 + -18x2 + 18x2 + 12x3 + -12x3
54 + 18X2 + -36x + 18x2 + 6x2X2 + -12x3 = -18x2 + 18x2 + 12x3 + -12x3

Combine like terms: -18x2 + 18x2 = 0
54 + 18X2 + -36x + 18x2 + 6x2X2 + -12x3 = 0 + 12x3 + -12x3
54 + 18X2 + -36x + 18x2 + 6x2X2 + -12x3 = 12x3 + -12x3

Combine like terms: 12x3 + -12x3 = 0
54 + 18X2 + -36x + 18x2 + 6x2X2 + -12x3 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(9 + 3X2 + -6x + 3x2 + x2X2 + -2x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(9 + 3X2 + -6x + 3x2 + x2X2 + -2x3)' equal to zero and attempt to solve:

Simplifying
9 + 3X2 + -6x + 3x2 + x2X2 + -2x3 = 0

Solving
9 + 3X2 + -6x + 3x2 + x2X2 + -2x3 = 0

Move all terms containing X to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + 3X2 + -6x + 3x2 + x2X2 + -9 + -2x3 = 0 + -9

Reorder the terms:
9 + -9 + 3X2 + -6x + 3x2 + x2X2 + -2x3 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 3X2 + -6x + 3x2 + x2X2 + -2x3 = 0 + -9
3X2 + -6x + 3x2 + x2X2 + -2x3 = 0 + -9

Combine like terms: 0 + -9 = -9
3X2 + -6x + 3x2 + x2X2 + -2x3 = -9

Add '6x' to each side of the equation.
3X2 + -6x + 3x2 + x2X2 + 6x + -2x3 = -9 + 6x

Reorder the terms:
3X2 + -6x + 6x + 3x2 + x2X2 + -2x3 = -9 + 6x

Combine like terms: -6x + 6x = 0
3X2 + 0 + 3x2 + x2X2 + -2x3 = -9 + 6x
3X2 + 3x2 + x2X2 + -2x3 = -9 + 6x

Add '-3x2' to each side of the equation.
3X2 + 3x2 + x2X2 + -3x2 + -2x3 = -9 + 6x + -3x2

Reorder the terms:
3X2 + 3x2 + -3x2 + x2X2 + -2x3 = -9 + 6x + -3x2

Combine like terms: 3x2 + -3x2 = 0
3X2 + 0 + x2X2 + -2x3 = -9 + 6x + -3x2
3X2 + x2X2 + -2x3 = -9 + 6x + -3x2

Add '2x3' to each side of the equation.
3X2 + x2X2 + -2x3 + 2x3 = -9 + 6x + -3x2 + 2x3

Combine like terms: -2x3 + 2x3 = 0
3X2 + x2X2 + 0 = -9 + 6x + -3x2 + 2x3
3X2 + x2X2 = -9 + 6x + -3x2 + 2x3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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