(2-3x)(4+6x+9)+3x(3x-1)(3x+1)=x

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Solution for (2-3x)(4+6x+9)+3x(3x-1)(3x+1)=x equation:


Simplifying
(2 + -3x)(4 + 6x + 9) + 3x(3x + -1)(3x + 1) = x

Reorder the terms:
(2 + -3x)(4 + 9 + 6x) + 3x(3x + -1)(3x + 1) = x

Combine like terms: 4 + 9 = 13
(2 + -3x)(13 + 6x) + 3x(3x + -1)(3x + 1) = x

Multiply (2 + -3x) * (13 + 6x)
(2(13 + 6x) + -3x * (13 + 6x)) + 3x(3x + -1)(3x + 1) = x
((13 * 2 + 6x * 2) + -3x * (13 + 6x)) + 3x(3x + -1)(3x + 1) = x
((26 + 12x) + -3x * (13 + 6x)) + 3x(3x + -1)(3x + 1) = x
(26 + 12x + (13 * -3x + 6x * -3x)) + 3x(3x + -1)(3x + 1) = x
(26 + 12x + (-39x + -18x2)) + 3x(3x + -1)(3x + 1) = x

Combine like terms: 12x + -39x = -27x
(26 + -27x + -18x2) + 3x(3x + -1)(3x + 1) = x

Reorder the terms:
26 + -27x + -18x2 + 3x(-1 + 3x)(3x + 1) = x

Reorder the terms:
26 + -27x + -18x2 + 3x(-1 + 3x)(1 + 3x) = x

Multiply (-1 + 3x) * (1 + 3x)
26 + -27x + -18x2 + 3x(-1(1 + 3x) + 3x * (1 + 3x)) = x
26 + -27x + -18x2 + 3x((1 * -1 + 3x * -1) + 3x * (1 + 3x)) = x
26 + -27x + -18x2 + 3x((-1 + -3x) + 3x * (1 + 3x)) = x
26 + -27x + -18x2 + 3x(-1 + -3x + (1 * 3x + 3x * 3x)) = x
26 + -27x + -18x2 + 3x(-1 + -3x + (3x + 9x2)) = x

Combine like terms: -3x + 3x = 0
26 + -27x + -18x2 + 3x(-1 + 0 + 9x2) = x
26 + -27x + -18x2 + 3x(-1 + 9x2) = x
26 + -27x + -18x2 + (-1 * 3x + 9x2 * 3x) = x
26 + -27x + -18x2 + (-3x + 27x3) = x

Reorder the terms:
26 + -27x + -3x + -18x2 + 27x3 = x

Combine like terms: -27x + -3x = -30x
26 + -30x + -18x2 + 27x3 = x

Solving
26 + -30x + -18x2 + 27x3 = x

Solving for variable 'x'.

Reorder the terms:
26 + -30x + -1x + -18x2 + 27x3 = x + -1x

Combine like terms: -30x + -1x = -31x
26 + -31x + -18x2 + 27x3 = x + -1x

Combine like terms: x + -1x = 0
26 + -31x + -18x2 + 27x3 = 0

The solution to this equation could not be determined.

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