X(1-x)+2x-4=8x-24-x^2

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Solution for X(1-x)+2x-4=8x-24-x^2 equation: 


Simplifying
X(1 + -1x) + 2x + -4 = 8x + -24 + -1x2
(1 * X + -1x * X) + 2x + -4 = 8x + -24 + -1x2
(1X + -1xX) + 2x + -4 = 8x + -24 + -1x2

Reorder the terms:
-4 + 1X + 2x + -1xX = 8x + -24 + -1x2

Reorder the terms:
-4 + 1X + 2x + -1xX = -24 + 8x + -1x2

Solving
-4 + 1X + 2x + -1xX = -24 + 8x + -1x2

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 1X + 2x + 4 + -1xX = -24 + 8x + 4 + -1x2

Reorder the terms:
-4 + 4 + 1X + 2x + -1xX = -24 + 8x + 4 + -1x2

Combine like terms: -4 + 4 = 0
0 + 1X + 2x + -1xX = -24 + 8x + 4 + -1x2
1X + 2x + -1xX = -24 + 8x + 4 + -1x2

Reorder the terms:
1X + 2x + -1xX = -24 + 4 + 8x + -1x2

Combine like terms: -24 + 4 = -20
1X + 2x + -1xX = -20 + 8x + -1x2

Add '-2x' to each side of the equation.
1X + 2x + -2x + -1xX = -20 + 8x + -2x + -1x2

Combine like terms: 2x + -2x = 0
1X + 0 + -1xX = -20 + 8x + -2x + -1x2
1X + -1xX = -20 + 8x + -2x + -1x2

Combine like terms: 8x + -2x = 6x
1X + -1xX = -20 + 6x + -1x2

Reorder the terms:
20 + 1X + -6x + -1xX + x2 = -20 + 6x + -1x2 + 20 + -6x + x2

Reorder the terms:
20 + 1X + -6x + -1xX + x2 = -20 + 20 + 6x + -6x + -1x2 + x2

Combine like terms: -20 + 20 = 0
20 + 1X + -6x + -1xX + x2 = 0 + 6x + -6x + -1x2 + x2
20 + 1X + -6x + -1xX + x2 = 6x + -6x + -1x2 + x2

Combine like terms: 6x + -6x = 0
20 + 1X + -6x + -1xX + x2 = 0 + -1x2 + x2
20 + 1X + -6x + -1xX + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
20 + 1X + -6x + -1xX + x2 = 0

The solution to this equation could not be determined.

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