(x-3)(X-2)(X-1)=3X+9

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Solution for (x-3)(X-2)(X-1)=3X+9 equation:


Simplifying
(x + -3)(X + -2)(X + -1) = 3X + 9

Reorder the terms:
(-3 + x)(X + -2)(X + -1) = 3X + 9

Reorder the terms:
(-3 + x)(-2 + X)(X + -1) = 3X + 9

Reorder the terms:
(-3 + x)(-2 + X)(-1 + X) = 3X + 9

Multiply (-3 + x) * (-2 + X)
(-3(-2 + X) + x(-2 + X))(-1 + X) = 3X + 9
((-2 * -3 + X * -3) + x(-2 + X))(-1 + X) = 3X + 9
((6 + -3X) + x(-2 + X))(-1 + X) = 3X + 9
(6 + -3X + (-2 * x + X * x))(-1 + X) = 3X + 9
(6 + -3X + (-2x + xX))(-1 + X) = 3X + 9
(6 + -3X + -2x + xX)(-1 + X) = 3X + 9

Multiply (6 + -3X + -2x + xX) * (-1 + X)
(6(-1 + X) + -3X * (-1 + X) + -2x * (-1 + X) + xX(-1 + X)) = 3X + 9
((-1 * 6 + X * 6) + -3X * (-1 + X) + -2x * (-1 + X) + xX(-1 + X)) = 3X + 9
((-6 + 6X) + -3X * (-1 + X) + -2x * (-1 + X) + xX(-1 + X)) = 3X + 9
(-6 + 6X + (-1 * -3X + X * -3X) + -2x * (-1 + X) + xX(-1 + X)) = 3X + 9
(-6 + 6X + (3X + -3X2) + -2x * (-1 + X) + xX(-1 + X)) = 3X + 9
(-6 + 6X + 3X + -3X2 + (-1 * -2x + X * -2x) + xX(-1 + X)) = 3X + 9
(-6 + 6X + 3X + -3X2 + (2x + -2xX) + xX(-1 + X)) = 3X + 9
(-6 + 6X + 3X + -3X2 + 2x + -2xX + (-1 * xX + X * xX)) = 3X + 9
(-6 + 6X + 3X + -3X2 + 2x + -2xX + (-1xX + xX2)) = 3X + 9

Combine like terms: 6X + 3X = 9X
(-6 + 9X + -3X2 + 2x + -2xX + -1xX + xX2) = 3X + 9

Combine like terms: -2xX + -1xX = -3xX
(-6 + 9X + -3X2 + 2x + -3xX + xX2) = 3X + 9

Reorder the terms:
-6 + 9X + -3X2 + 2x + -3xX + xX2 = 9 + 3X

Solving
-6 + 9X + -3X2 + 2x + -3xX + xX2 = 9 + 3X

Solving for variable 'X'.

Reorder the terms:
-6 + -9 + 9X + -3X + -3X2 + 2x + -3xX + xX2 = 9 + 3X + -9 + -3X

Combine like terms: -6 + -9 = -15
-15 + 9X + -3X + -3X2 + 2x + -3xX + xX2 = 9 + 3X + -9 + -3X

Combine like terms: 9X + -3X = 6X
-15 + 6X + -3X2 + 2x + -3xX + xX2 = 9 + 3X + -9 + -3X

Reorder the terms:
-15 + 6X + -3X2 + 2x + -3xX + xX2 = 9 + -9 + 3X + -3X

Combine like terms: 9 + -9 = 0
-15 + 6X + -3X2 + 2x + -3xX + xX2 = 0 + 3X + -3X
-15 + 6X + -3X2 + 2x + -3xX + xX2 = 3X + -3X

Combine like terms: 3X + -3X = 0
-15 + 6X + -3X2 + 2x + -3xX + xX2 = 0

The solution to this equation could not be determined.

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