x^4-81=x^3-3x^2+9x-27

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Solution for x^4-81=x^3-3x^2+9x-27 equation:


Simplifying
x4 + -81 = x3 + -3x2 + 9x + -27

Reorder the terms:
-81 + x4 = x3 + -3x2 + 9x + -27

Reorder the terms:
-81 + x4 = -27 + 9x + -3x2 + x3

Solving
-81 + x4 = -27 + 9x + -3x2 + x3

Solving for variable 'x'.

Reorder the terms:
-81 + 27 + -9x + 3x2 + -1x3 + x4 = -27 + 9x + -3x2 + x3 + 27 + -9x + 3x2 + -1x3

Combine like terms: -81 + 27 = -54
-54 + -9x + 3x2 + -1x3 + x4 = -27 + 9x + -3x2 + x3 + 27 + -9x + 3x2 + -1x3

Reorder the terms:
-54 + -9x + 3x2 + -1x3 + x4 = -27 + 27 + 9x + -9x + -3x2 + 3x2 + x3 + -1x3

Combine like terms: -27 + 27 = 0
-54 + -9x + 3x2 + -1x3 + x4 = 0 + 9x + -9x + -3x2 + 3x2 + x3 + -1x3
-54 + -9x + 3x2 + -1x3 + x4 = 9x + -9x + -3x2 + 3x2 + x3 + -1x3

Combine like terms: 9x + -9x = 0
-54 + -9x + 3x2 + -1x3 + x4 = 0 + -3x2 + 3x2 + x3 + -1x3
-54 + -9x + 3x2 + -1x3 + x4 = -3x2 + 3x2 + x3 + -1x3

Combine like terms: -3x2 + 3x2 = 0
-54 + -9x + 3x2 + -1x3 + x4 = 0 + x3 + -1x3
-54 + -9x + 3x2 + -1x3 + x4 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-54 + -9x + 3x2 + -1x3 + x4 = 0

The solution to this equation could not be determined.

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