2x-6=(x+3)(3x-9)(2x-6)-x(3x^2-27)(3x-9)

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Solution for 2x-6=(x+3)(3x-9)(2x-6)-x(3x^2-27)(3x-9) equation: 


Simplifying
2x + -6 = (x + 3)(3x + -9)(2x + -6) + -1x(3x2 + -27)(3x + -9)

Reorder the terms:
-6 + 2x = (x + 3)(3x + -9)(2x + -6) + -1x(3x2 + -27)(3x + -9)

Reorder the terms:
-6 + 2x = (3 + x)(3x + -9)(2x + -6) + -1x(3x2 + -27)(3x + -9)

Reorder the terms:
-6 + 2x = (3 + x)(-9 + 3x)(2x + -6) + -1x(3x2 + -27)(3x + -9)

Reorder the terms:
-6 + 2x = (3 + x)(-9 + 3x)(-6 + 2x) + -1x(3x2 + -27)(3x + -9)

Multiply (3 + x) * (-9 + 3x)
-6 + 2x = (3(-9 + 3x) + x(-9 + 3x))(-6 + 2x) + -1x(3x2 + -27)(3x + -9)
-6 + 2x = ((-9 * 3 + 3x * 3) + x(-9 + 3x))(-6 + 2x) + -1x(3x2 + -27)(3x + -9)
-6 + 2x = ((-27 + 9x) + x(-9 + 3x))(-6 + 2x) + -1x(3x2 + -27)(3x + -9)
-6 + 2x = (-27 + 9x + (-9 * x + 3x * x))(-6 + 2x) + -1x(3x2 + -27)(3x + -9)
-6 + 2x = (-27 + 9x + (-9x + 3x2))(-6 + 2x) + -1x(3x2 + -27)(3x + -9)

Combine like terms: 9x + -9x = 0
-6 + 2x = (-27 + 0 + 3x2)(-6 + 2x) + -1x(3x2 + -27)(3x + -9)
-6 + 2x = (-27 + 3x2)(-6 + 2x) + -1x(3x2 + -27)(3x + -9)

Multiply (-27 + 3x2) * (-6 + 2x)
-6 + 2x = (-27(-6 + 2x) + 3x2 * (-6 + 2x)) + -1x(3x2 + -27)(3x + -9)
-6 + 2x = ((-6 * -27 + 2x * -27) + 3x2 * (-6 + 2x)) + -1x(3x2 + -27)(3x + -9)
-6 + 2x = ((162 + -54x) + 3x2 * (-6 + 2x)) + -1x(3x2 + -27)(3x + -9)
-6 + 2x = (162 + -54x + (-6 * 3x2 + 2x * 3x2)) + -1x(3x2 + -27)(3x + -9)
-6 + 2x = (162 + -54x + (-18x2 + 6x3)) + -1x(3x2 + -27)(3x + -9)
-6 + 2x = (162 + -54x + -18x2 + 6x3) + -1x(3x2 + -27)(3x + -9)

Reorder the terms:
-6 + 2x = 162 + -54x + -18x2 + 6x3 + -1x(-27 + 3x2)(3x + -9)

Reorder the terms:
-6 + 2x = 162 + -54x + -18x2 + 6x3 + -1x(-27 + 3x2)(-9 + 3x)

Multiply (-27 + 3x2) * (-9 + 3x)
-6 + 2x = 162 + -54x + -18x2 + 6x3 + -1x(-27(-9 + 3x) + 3x2 * (-9 + 3x))
-6 + 2x = 162 + -54x + -18x2 + 6x3 + -1x((-9 * -27 + 3x * -27) + 3x2 * (-9 + 3x))
-6 + 2x = 162 + -54x + -18x2 + 6x3 + -1x((243 + -81x) + 3x2 * (-9 + 3x))
-6 + 2x = 162 + -54x + -18x2 + 6x3 + -1x(243 + -81x + (-9 * 3x2 + 3x * 3x2))
-6 + 2x = 162 + -54x + -18x2 + 6x3 + -1x(243 + -81x + (-27x2 + 9x3))
-6 + 2x = 162 + -54x + -18x2 + 6x3 + -1x(243 + -81x + -27x2 + 9x3)
-6 + 2x = 162 + -54x + -18x2 + 6x3 + (243 * -1x + -81x * -1x + -27x2 * -1x + 9x3 * -1x)
-6 + 2x = 162 + -54x + -18x2 + 6x3 + (-243x + 81x2 + 27x3 + -9x4)

Reorder the terms:
-6 + 2x = 162 + -54x + -243x + -18x2 + 81x2 + 6x3 + 27x3 + -9x4

Combine like terms: -54x + -243x = -297x
-6 + 2x = 162 + -297x + -18x2 + 81x2 + 6x3 + 27x3 + -9x4

Combine like terms: -18x2 + 81x2 = 63x2
-6 + 2x = 162 + -297x + 63x2 + 6x3 + 27x3 + -9x4

Combine like terms: 6x3 + 27x3 = 33x3
-6 + 2x = 162 + -297x + 63x2 + 33x3 + -9x4

Solving
-6 + 2x = 162 + -297x + 63x2 + 33x3 + -9x4

Solving for variable 'x'.

Reorder the terms:
-6 + -162 + 2x + 297x + -63x2 + -33x3 + 9x4 = 162 + -297x + 63x2 + 33x3 + -9x4 + -162 + 297x + -63x2 + -33x3 + 9x4

Combine like terms: -6 + -162 = -168
-168 + 2x + 297x + -63x2 + -33x3 + 9x4 = 162 + -297x + 63x2 + 33x3 + -9x4 + -162 + 297x + -63x2 + -33x3 + 9x4

Combine like terms: 2x + 297x = 299x
-168 + 299x + -63x2 + -33x3 + 9x4 = 162 + -297x + 63x2 + 33x3 + -9x4 + -162 + 297x + -63x2 + -33x3 + 9x4

Reorder the terms:
-168 + 299x + -63x2 + -33x3 + 9x4 = 162 + -162 + -297x + 297x + 63x2 + -63x2 + 33x3 + -33x3 + -9x4 + 9x4

Combine like terms: 162 + -162 = 0
-168 + 299x + -63x2 + -33x3 + 9x4 = 0 + -297x + 297x + 63x2 + -63x2 + 33x3 + -33x3 + -9x4 + 9x4
-168 + 299x + -63x2 + -33x3 + 9x4 = -297x + 297x + 63x2 + -63x2 + 33x3 + -33x3 + -9x4 + 9x4

Combine like terms: -297x + 297x = 0
-168 + 299x + -63x2 + -33x3 + 9x4 = 0 + 63x2 + -63x2 + 33x3 + -33x3 + -9x4 + 9x4
-168 + 299x + -63x2 + -33x3 + 9x4 = 63x2 + -63x2 + 33x3 + -33x3 + -9x4 + 9x4

Combine like terms: 63x2 + -63x2 = 0
-168 + 299x + -63x2 + -33x3 + 9x4 = 0 + 33x3 + -33x3 + -9x4 + 9x4
-168 + 299x + -63x2 + -33x3 + 9x4 = 33x3 + -33x3 + -9x4 + 9x4

Combine like terms: 33x3 + -33x3 = 0
-168 + 299x + -63x2 + -33x3 + 9x4 = 0 + -9x4 + 9x4
-168 + 299x + -63x2 + -33x3 + 9x4 = -9x4 + 9x4

Combine like terms: -9x4 + 9x4 = 0
-168 + 299x + -63x2 + -33x3 + 9x4 = 0

The solution to this equation could not be determined.

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