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

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


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

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

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

Multiply (-1 + x) * (-2 + x)
x(-1(-2 + x) + x(-2 + x)) + (x + -1)(x + -2)(x + -3) = 0
x((-2 * -1 + x * -1) + x(-2 + x)) + (x + -1)(x + -2)(x + -3) = 0
x((2 + -1x) + x(-2 + x)) + (x + -1)(x + -2)(x + -3) = 0
x(2 + -1x + (-2 * x + x * x)) + (x + -1)(x + -2)(x + -3) = 0
x(2 + -1x + (-2x + x2)) + (x + -1)(x + -2)(x + -3) = 0

Combine like terms: -1x + -2x = -3x
x(2 + -3x + x2) + (x + -1)(x + -2)(x + -3) = 0
(2 * x + -3x * x + x2 * x) + (x + -1)(x + -2)(x + -3) = 0
(2x + -3x2 + x3) + (x + -1)(x + -2)(x + -3) = 0

Reorder the terms:
2x + -3x2 + x3 + (-1 + x)(x + -2)(x + -3) = 0

Reorder the terms:
2x + -3x2 + x3 + (-1 + x)(-2 + x)(x + -3) = 0

Reorder the terms:
2x + -3x2 + x3 + (-1 + x)(-2 + x)(-3 + x) = 0

Multiply (-1 + x) * (-2 + x)
2x + -3x2 + x3 + (-1(-2 + x) + x(-2 + x))(-3 + x) = 0
2x + -3x2 + x3 + ((-2 * -1 + x * -1) + x(-2 + x))(-3 + x) = 0
2x + -3x2 + x3 + ((2 + -1x) + x(-2 + x))(-3 + x) = 0
2x + -3x2 + x3 + (2 + -1x + (-2 * x + x * x))(-3 + x) = 0
2x + -3x2 + x3 + (2 + -1x + (-2x + x2))(-3 + x) = 0

Combine like terms: -1x + -2x = -3x
2x + -3x2 + x3 + (2 + -3x + x2)(-3 + x) = 0

Multiply (2 + -3x + x2) * (-3 + x)
2x + -3x2 + x3 + (2(-3 + x) + -3x * (-3 + x) + x2(-3 + x)) = 0
2x + -3x2 + x3 + ((-3 * 2 + x * 2) + -3x * (-3 + x) + x2(-3 + x)) = 0
2x + -3x2 + x3 + ((-6 + 2x) + -3x * (-3 + x) + x2(-3 + x)) = 0
2x + -3x2 + x3 + (-6 + 2x + (-3 * -3x + x * -3x) + x2(-3 + x)) = 0
2x + -3x2 + x3 + (-6 + 2x + (9x + -3x2) + x2(-3 + x)) = 0
2x + -3x2 + x3 + (-6 + 2x + 9x + -3x2 + (-3 * x2 + x * x2)) = 0
2x + -3x2 + x3 + (-6 + 2x + 9x + -3x2 + (-3x2 + x3)) = 0

Combine like terms: 2x + 9x = 11x
2x + -3x2 + x3 + (-6 + 11x + -3x2 + -3x2 + x3) = 0

Combine like terms: -3x2 + -3x2 = -6x2
2x + -3x2 + x3 + (-6 + 11x + -6x2 + x3) = 0

Reorder the terms:
-6 + 2x + 11x + -3x2 + -6x2 + x3 + x3 = 0

Combine like terms: 2x + 11x = 13x
-6 + 13x + -3x2 + -6x2 + x3 + x3 = 0

Combine like terms: -3x2 + -6x2 = -9x2
-6 + 13x + -9x2 + x3 + x3 = 0

Combine like terms: x3 + x3 = 2x3
-6 + 13x + -9x2 + 2x3 = 0

Solving
-6 + 13x + -9x2 + 2x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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