(X+1)(x-2)(x-3)=0

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Solution for (X+1)(x-2)(x-3)=0 equation:


Simplifying
(X + 1)(x + -2)(x + -3) = 0

Reorder the terms:
(1 + X)(x + -2)(x + -3) = 0

Reorder the terms:
(1 + X)(-2 + x)(x + -3) = 0

Reorder the terms:
(1 + X)(-2 + x)(-3 + x) = 0

Multiply (1 + X) * (-2 + x)
(1(-2 + x) + X(-2 + x))(-3 + x) = 0
((-2 * 1 + x * 1) + X(-2 + x))(-3 + x) = 0
((-2 + 1x) + X(-2 + x))(-3 + x) = 0
(-2 + 1x + (-2 * X + x * X))(-3 + x) = 0
(-2 + 1x + (-2X + xX))(-3 + x) = 0

Reorder the terms:
(-2 + -2X + 1x + xX)(-3 + x) = 0
(-2 + -2X + 1x + xX)(-3 + x) = 0

Multiply (-2 + -2X + 1x + xX) * (-3 + x)
(-2(-3 + x) + -2X * (-3 + x) + 1x * (-3 + x) + xX(-3 + x)) = 0
((-3 * -2 + x * -2) + -2X * (-3 + x) + 1x * (-3 + x) + xX(-3 + x)) = 0
((6 + -2x) + -2X * (-3 + x) + 1x * (-3 + x) + xX(-3 + x)) = 0
(6 + -2x + (-3 * -2X + x * -2X) + 1x * (-3 + x) + xX(-3 + x)) = 0
(6 + -2x + (6X + -2xX) + 1x * (-3 + x) + xX(-3 + x)) = 0
(6 + -2x + 6X + -2xX + (-3 * 1x + x * 1x) + xX(-3 + x)) = 0
(6 + -2x + 6X + -2xX + (-3x + 1x2) + xX(-3 + x)) = 0
(6 + -2x + 6X + -2xX + -3x + 1x2 + (-3 * xX + x * xX)) = 0
(6 + -2x + 6X + -2xX + -3x + 1x2 + (-3xX + x2X)) = 0

Reorder the terms:
(6 + 6X + -2x + -3x + -2xX + -3xX + 1x2 + x2X) = 0

Combine like terms: -2x + -3x = -5x
(6 + 6X + -5x + -2xX + -3xX + 1x2 + x2X) = 0

Combine like terms: -2xX + -3xX = -5xX
(6 + 6X + -5x + -5xX + 1x2 + x2X) = 0

Solving
6 + 6X + -5x + -5xX + 1x2 + x2X = 0

Solving for variable 'X'.

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

Add '-6' to each side of the equation.
6 + 6X + -5x + -5xX + 1x2 + -6 + x2X = 0 + -6

Reorder the terms:
6 + -6 + 6X + -5x + -5xX + 1x2 + x2X = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 6X + -5x + -5xX + 1x2 + x2X = 0 + -6
6X + -5x + -5xX + 1x2 + x2X = 0 + -6

Combine like terms: 0 + -6 = -6
6X + -5x + -5xX + 1x2 + x2X = -6

Add '5x' to each side of the equation.
6X + -5x + -5xX + 1x2 + 5x + x2X = -6 + 5x

Reorder the terms:
6X + -5x + 5x + -5xX + 1x2 + x2X = -6 + 5x

Combine like terms: -5x + 5x = 0
6X + 0 + -5xX + 1x2 + x2X = -6 + 5x
6X + -5xX + 1x2 + x2X = -6 + 5x

Add '-1x2' to each side of the equation.
6X + -5xX + 1x2 + -1x2 + x2X = -6 + 5x + -1x2

Combine like terms: 1x2 + -1x2 = 0
6X + -5xX + 0 + x2X = -6 + 5x + -1x2
6X + -5xX + x2X = -6 + 5x + -1x2

Reorder the terms:
6 + 6X + -5x + -5xX + x2 + x2X = -6 + 5x + -1x2 + 6 + -5x + x2

Reorder the terms:
6 + 6X + -5x + -5xX + x2 + x2X = -6 + 6 + 5x + -5x + -1x2 + x2

Combine like terms: -6 + 6 = 0
6 + 6X + -5x + -5xX + x2 + x2X = 0 + 5x + -5x + -1x2 + x2
6 + 6X + -5x + -5xX + x2 + x2X = 5x + -5x + -1x2 + x2

Combine like terms: 5x + -5x = 0
6 + 6X + -5x + -5xX + x2 + x2X = 0 + -1x2 + x2
6 + 6X + -5x + -5xX + x2 + x2X = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
6 + 6X + -5x + -5xX + x2 + x2X = 0

The solution to this equation could not be determined.

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