(X^4+6x^2+9)(6)-(6x)(2(x^2+3)(2x))=0

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Solution for (X^4+6x^2+9)(6)-(6x)(2(x^2+3)(2x))=0 equation: 


Simplifying
(X4 + 6x2 + 9)(6) + -1(6x)(2(x2 + 3)(2x)) = 0

Reorder the terms:
(9 + X4 + 6x2)(6) + -1(6x)(2(x2 + 3)(2x)) = 0

Reorder the terms for easier multiplication:
6(9 + X4 + 6x2) + -1(6x)(2(x2 + 3)(2x)) = 0
(9 * 6 + X4 * 6 + 6x2 * 6) + -1(6x)(2(x2 + 3)(2x)) = 0
(54 + 6X4 + 36x2) + -1(6x)(2(x2 + 3)(2x)) = 0

Remove parenthesis around (6x)
54 + 6X4 + 36x2 + -1 * 6x(2(x2 + 3)(2x)) = 0

Reorder the terms:
54 + 6X4 + 36x2 + -1 * 6x(2(3 + x2)(2x)) = 0

Remove parenthesis around (2x)
54 + 6X4 + 36x2 + -1 * 6x(2(3 + x2) * 2x) = 0

Reorder the terms for easier multiplication:
54 + 6X4 + 36x2 + -1 * 6x(2 * 2x(3 + x2)) = 0

Multiply 2 * 2
54 + 6X4 + 36x2 + -1 * 6x(4x(3 + x2)) = 0
54 + 6X4 + 36x2 + -1 * 6x((3 * 4x + x2 * 4x)) = 0
54 + 6X4 + 36x2 + -1 * 6x((12x + 4x3)) = 0

Multiply -1 * 6
54 + 6X4 + 36x2 + -6x(12x + 4x3) = 0
54 + 6X4 + 36x2 + (12x * -6x + 4x3 * -6x) = 0
54 + 6X4 + 36x2 + (-72x2 + -24x4) = 0

Combine like terms: 36x2 + -72x2 = -36x2
54 + 6X4 + -36x2 + -24x4 = 0

Solving
54 + 6X4 + -36x2 + -24x4 = 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 + 6X4 + -36x2 + -54 + -24x4 = 0 + -54

Reorder the terms:
54 + -54 + 6X4 + -36x2 + -24x4 = 0 + -54

Combine like terms: 54 + -54 = 0
0 + 6X4 + -36x2 + -24x4 = 0 + -54
6X4 + -36x2 + -24x4 = 0 + -54

Combine like terms: 0 + -54 = -54
6X4 + -36x2 + -24x4 = -54

Add '36x2' to each side of the equation.
6X4 + -36x2 + 36x2 + -24x4 = -54 + 36x2

Combine like terms: -36x2 + 36x2 = 0
6X4 + 0 + -24x4 = -54 + 36x2
6X4 + -24x4 = -54 + 36x2

Add '24x4' to each side of the equation.
6X4 + -24x4 + 24x4 = -54 + 36x2 + 24x4

Combine like terms: -24x4 + 24x4 = 0
6X4 + 0 = -54 + 36x2 + 24x4
6X4 = -54 + 36x2 + 24x4

Divide each side by '6'.
X4 = -9 + 6x2 + 4x4

Simplifying
X4 = -9 + 6x2 + 4x4

Reorder the terms:
9 + X4 + -6x2 + -4x4 = -9 + 6x2 + 4x4 + 9 + -6x2 + -4x4

Reorder the terms:
9 + X4 + -6x2 + -4x4 = -9 + 9 + 6x2 + -6x2 + 4x4 + -4x4

Combine like terms: -9 + 9 = 0
9 + X4 + -6x2 + -4x4 = 0 + 6x2 + -6x2 + 4x4 + -4x4
9 + X4 + -6x2 + -4x4 = 6x2 + -6x2 + 4x4 + -4x4

Combine like terms: 6x2 + -6x2 = 0
9 + X4 + -6x2 + -4x4 = 0 + 4x4 + -4x4
9 + X4 + -6x2 + -4x4 = 4x4 + -4x4

Combine like terms: 4x4 + -4x4 = 0
9 + X4 + -6x2 + -4x4 = 0

The solution to this equation could not be determined.

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