-3x+2+(1+x)(-2+X)-x^2=8-3X

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Solution for -3x+2+(1+x)(-2+X)-x^2=8-3X equation: 


Simplifying
-3x + 2 + (1 + x)(-2 + X) + -1x2 = 8 + -3X

Multiply (1 + x) * (-2 + X)
-3x + 2 + (1(-2 + X) + x(-2 + X)) + -1x2 = 8 + -3X
-3x + 2 + ((-2 * 1 + X * 1) + x(-2 + X)) + -1x2 = 8 + -3X
-3x + 2 + ((-2 + 1X) + x(-2 + X)) + -1x2 = 8 + -3X
-3x + 2 + (-2 + 1X + (-2 * x + X * x)) + -1x2 = 8 + -3X
-3x + 2 + (-2 + 1X + (-2x + xX)) + -1x2 = 8 + -3X
-3x + 2 + (-2 + 1X + -2x + xX) + -1x2 = 8 + -3X

Reorder the terms:
2 + -2 + 1X + -3x + -2x + xX + -1x2 = 8 + -3X

Combine like terms: 2 + -2 = 0
0 + 1X + -3x + -2x + xX + -1x2 = 8 + -3X
1X + -3x + -2x + xX + -1x2 = 8 + -3X

Combine like terms: -3x + -2x = -5x
1X + -5x + xX + -1x2 = 8 + -3X

Solving
1X + -5x + xX + -1x2 = 8 + -3X

Solving for variable 'X'.

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

Add '3X' to each side of the equation.
1X + -5x + xX + 3X + -1x2 = 8 + -3X + 3X

Reorder the terms:
1X + 3X + -5x + xX + -1x2 = 8 + -3X + 3X

Combine like terms: 1X + 3X = 4X
4X + -5x + xX + -1x2 = 8 + -3X + 3X

Combine like terms: -3X + 3X = 0
4X + -5x + xX + -1x2 = 8 + 0
4X + -5x + xX + -1x2 = 8

Add '5x' to each side of the equation.
4X + -5x + xX + 5x + -1x2 = 8 + 5x

Reorder the terms:
4X + -5x + 5x + xX + -1x2 = 8 + 5x

Combine like terms: -5x + 5x = 0
4X + 0 + xX + -1x2 = 8 + 5x
4X + xX + -1x2 = 8 + 5x

Add 'x2' to each side of the equation.
4X + xX + -1x2 + x2 = 8 + 5x + x2

Combine like terms: -1x2 + x2 = 0
4X + xX + 0 = 8 + 5x + x2
4X + xX = 8 + 5x + x2

Reorder the terms:
-8 + 4X + -5x + xX + -1x2 = 8 + 5x + x2 + -8 + -5x + -1x2

Reorder the terms:
-8 + 4X + -5x + xX + -1x2 = 8 + -8 + 5x + -5x + x2 + -1x2

Combine like terms: 8 + -8 = 0
-8 + 4X + -5x + xX + -1x2 = 0 + 5x + -5x + x2 + -1x2
-8 + 4X + -5x + xX + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
-8 + 4X + -5x + xX + -1x2 = 0 + x2 + -1x2
-8 + 4X + -5x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + 4X + -5x + xX + -1x2 = 0

The solution to this equation could not be determined.

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