x(x^2-1)-27=8(x^2+x)-11x^2

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Solution for x(x^2-1)-27=8(x^2+x)-11x^2 equation: 


Simplifying
x(x2 + -1) + -27 = 8(x2 + x) + -11x2

Reorder the terms:
x(-1 + x2) + -27 = 8(x2 + x) + -11x2
(-1 * x + x2 * x) + -27 = 8(x2 + x) + -11x2
(-1x + x3) + -27 = 8(x2 + x) + -11x2

Reorder the terms:
-27 + -1x + x3 = 8(x2 + x) + -11x2

Reorder the terms:
-27 + -1x + x3 = 8(x + x2) + -11x2
-27 + -1x + x3 = (x * 8 + x2 * 8) + -11x2
-27 + -1x + x3 = (8x + 8x2) + -11x2

Combine like terms: 8x2 + -11x2 = -3x2
-27 + -1x + x3 = 8x + -3x2

Solving
-27 + -1x + x3 = 8x + -3x2

Solving for variable 'x'.

Reorder the terms:
-27 + -1x + -8x + 3x2 + x3 = 8x + -3x2 + -8x + 3x2

Combine like terms: -1x + -8x = -9x
-27 + -9x + 3x2 + x3 = 8x + -3x2 + -8x + 3x2

Reorder the terms:
-27 + -9x + 3x2 + x3 = 8x + -8x + -3x2 + 3x2

Combine like terms: 8x + -8x = 0
-27 + -9x + 3x2 + x3 = 0 + -3x2 + 3x2
-27 + -9x + 3x2 + x3 = -3x2 + 3x2

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

The solution to this equation could not be determined.

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