(x^2+6x+6)(x^2+x+6)=6x

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Solution for (x^2+6x+6)(x^2+x+6)=6x equation:


Simplifying
(x2 + 6x + 6)(x2 + x + 6) = 6x

Reorder the terms:
(6 + 6x + x2)(x2 + x + 6) = 6x

Reorder the terms:
(6 + 6x + x2)(6 + x + x2) = 6x

Multiply (6 + 6x + x2) * (6 + x + x2)
(6(6 + x + x2) + 6x * (6 + x + x2) + x2(6 + x + x2)) = 6x
((6 * 6 + x * 6 + x2 * 6) + 6x * (6 + x + x2) + x2(6 + x + x2)) = 6x
((36 + 6x + 6x2) + 6x * (6 + x + x2) + x2(6 + x + x2)) = 6x
(36 + 6x + 6x2 + (6 * 6x + x * 6x + x2 * 6x) + x2(6 + x + x2)) = 6x
(36 + 6x + 6x2 + (36x + 6x2 + 6x3) + x2(6 + x + x2)) = 6x
(36 + 6x + 6x2 + 36x + 6x2 + 6x3 + (6 * x2 + x * x2 + x2 * x2)) = 6x
(36 + 6x + 6x2 + 36x + 6x2 + 6x3 + (6x2 + x3 + x4)) = 6x

Reorder the terms:
(36 + 6x + 36x + 6x2 + 6x2 + 6x2 + 6x3 + x3 + x4) = 6x

Combine like terms: 6x + 36x = 42x
(36 + 42x + 6x2 + 6x2 + 6x2 + 6x3 + x3 + x4) = 6x

Combine like terms: 6x2 + 6x2 = 12x2
(36 + 42x + 12x2 + 6x2 + 6x3 + x3 + x4) = 6x

Combine like terms: 12x2 + 6x2 = 18x2
(36 + 42x + 18x2 + 6x3 + x3 + x4) = 6x

Combine like terms: 6x3 + x3 = 7x3
(36 + 42x + 18x2 + 7x3 + x4) = 6x

Solving
36 + 42x + 18x2 + 7x3 + x4 = 6x

Solving for variable 'x'.

Reorder the terms:
36 + 42x + -6x + 18x2 + 7x3 + x4 = 6x + -6x

Combine like terms: 42x + -6x = 36x
36 + 36x + 18x2 + 7x3 + x4 = 6x + -6x

Combine like terms: 6x + -6x = 0
36 + 36x + 18x2 + 7x3 + x4 = 0

The solution to this equation could not be determined.

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