2x-6=(2x^2-18)-(9x^3-54x^2+81x)

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Solution for 2x-6=(2x^2-18)-(9x^3-54x^2+81x) equation: 


Simplifying
2x + -6 = (2x2 + -18) + -1(9x3 + -54x2 + 81x)

Reorder the terms:
-6 + 2x = (2x2 + -18) + -1(9x3 + -54x2 + 81x)

Reorder the terms:
-6 + 2x = (-18 + 2x2) + -1(9x3 + -54x2 + 81x)

Remove parenthesis around (-18 + 2x2)
-6 + 2x = -18 + 2x2 + -1(9x3 + -54x2 + 81x)

Reorder the terms:
-6 + 2x = -18 + 2x2 + -1(81x + -54x2 + 9x3)
-6 + 2x = -18 + 2x2 + (81x * -1 + -54x2 * -1 + 9x3 * -1)
-6 + 2x = -18 + 2x2 + (-81x + 54x2 + -9x3)

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

Combine like terms: 2x2 + 54x2 = 56x2
-6 + 2x = -18 + -81x + 56x2 + -9x3

Solving
-6 + 2x = -18 + -81x + 56x2 + -9x3

Solving for variable 'x'.

Reorder the terms:
-6 + 18 + 2x + 81x + -56x2 + 9x3 = -18 + -81x + 56x2 + -9x3 + 18 + 81x + -56x2 + 9x3

Combine like terms: -6 + 18 = 12
12 + 2x + 81x + -56x2 + 9x3 = -18 + -81x + 56x2 + -9x3 + 18 + 81x + -56x2 + 9x3

Combine like terms: 2x + 81x = 83x
12 + 83x + -56x2 + 9x3 = -18 + -81x + 56x2 + -9x3 + 18 + 81x + -56x2 + 9x3

Reorder the terms:
12 + 83x + -56x2 + 9x3 = -18 + 18 + -81x + 81x + 56x2 + -56x2 + -9x3 + 9x3

Combine like terms: -18 + 18 = 0
12 + 83x + -56x2 + 9x3 = 0 + -81x + 81x + 56x2 + -56x2 + -9x3 + 9x3
12 + 83x + -56x2 + 9x3 = -81x + 81x + 56x2 + -56x2 + -9x3 + 9x3

Combine like terms: -81x + 81x = 0
12 + 83x + -56x2 + 9x3 = 0 + 56x2 + -56x2 + -9x3 + 9x3
12 + 83x + -56x2 + 9x3 = 56x2 + -56x2 + -9x3 + 9x3

Combine like terms: 56x2 + -56x2 = 0
12 + 83x + -56x2 + 9x3 = 0 + -9x3 + 9x3
12 + 83x + -56x2 + 9x3 = -9x3 + 9x3

Combine like terms: -9x3 + 9x3 = 0
12 + 83x + -56x2 + 9x3 = 0

The solution to this equation could not be determined.

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