x=(-6+x^2+x)(-2+x)

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


Simplifying
x = (-6 + x2 + x)(-2 + x)

Reorder the terms:
x = (-6 + x + x2)(-2 + x)

Multiply (-6 + x + x2) * (-2 + x)
x = (-6(-2 + x) + x(-2 + x) + x2(-2 + x))
x = ((-2 * -6 + x * -6) + x(-2 + x) + x2(-2 + x))
x = ((12 + -6x) + x(-2 + x) + x2(-2 + x))
x = (12 + -6x + (-2 * x + x * x) + x2(-2 + x))
x = (12 + -6x + (-2x + x2) + x2(-2 + x))
x = (12 + -6x + -2x + x2 + (-2 * x2 + x * x2))
x = (12 + -6x + -2x + x2 + (-2x2 + x3))

Combine like terms: -6x + -2x = -8x
x = (12 + -8x + x2 + -2x2 + x3)

Combine like terms: x2 + -2x2 = -1x2
x = (12 + -8x + -1x2 + x3)

Solving
x = 12 + -8x + -1x2 + x3

Solving for variable 'x'.

Reorder the terms:
-12 + x + 8x + x2 + -1x3 = 12 + -8x + -1x2 + x3 + -12 + 8x + x2 + -1x3

Combine like terms: x + 8x = 9x
-12 + 9x + x2 + -1x3 = 12 + -8x + -1x2 + x3 + -12 + 8x + x2 + -1x3

Reorder the terms:
-12 + 9x + x2 + -1x3 = 12 + -12 + -8x + 8x + -1x2 + x2 + x3 + -1x3

Combine like terms: 12 + -12 = 0
-12 + 9x + x2 + -1x3 = 0 + -8x + 8x + -1x2 + x2 + x3 + -1x3
-12 + 9x + x2 + -1x3 = -8x + 8x + -1x2 + x2 + x3 + -1x3

Combine like terms: -8x + 8x = 0
-12 + 9x + x2 + -1x3 = 0 + -1x2 + x2 + x3 + -1x3
-12 + 9x + x2 + -1x3 = -1x2 + x2 + x3 + -1x3

Combine like terms: -1x2 + x2 = 0
-12 + 9x + x2 + -1x3 = 0 + x3 + -1x3
-12 + 9x + x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-12 + 9x + x2 + -1x3 = 0

The solution to this equation could not be determined.

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