(x+5)(3x^2+6x+4)=x

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Solution for (x+5)(3x^2+6x+4)=x equation: 


Simplifying
(x + 5)(3x2 + 6x + 4) = x

Reorder the terms:
(5 + x)(3x2 + 6x + 4) = x

Reorder the terms:
(5 + x)(4 + 6x + 3x2) = x

Multiply (5 + x) * (4 + 6x + 3x2)
(5(4 + 6x + 3x2) + x(4 + 6x + 3x2)) = x
((4 * 5 + 6x * 5 + 3x2 * 5) + x(4 + 6x + 3x2)) = x
((20 + 30x + 15x2) + x(4 + 6x + 3x2)) = x
(20 + 30x + 15x2 + (4 * x + 6x * x + 3x2 * x)) = x
(20 + 30x + 15x2 + (4x + 6x2 + 3x3)) = x

Reorder the terms:
(20 + 30x + 4x + 15x2 + 6x2 + 3x3) = x

Combine like terms: 30x + 4x = 34x
(20 + 34x + 15x2 + 6x2 + 3x3) = x

Combine like terms: 15x2 + 6x2 = 21x2
(20 + 34x + 21x2 + 3x3) = x

Solving
20 + 34x + 21x2 + 3x3 = x

Solving for variable 'x'.

Reorder the terms:
20 + 34x + -1x + 21x2 + 3x3 = x + -1x

Combine like terms: 34x + -1x = 33x
20 + 33x + 21x2 + 3x3 = x + -1x

Combine like terms: x + -1x = 0
20 + 33x + 21x2 + 3x3 = 0

The solution to this equation could not be determined.

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