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

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


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

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

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

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

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

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

Multiply (1 + -3x + 2x2) * (-1 + 3x)
(1(-1 + 3x) + -3x * (-1 + 3x) + 2x2 * (-1 + 3x)) = 0
((-1 * 1 + 3x * 1) + -3x * (-1 + 3x) + 2x2 * (-1 + 3x)) = 0
((-1 + 3x) + -3x * (-1 + 3x) + 2x2 * (-1 + 3x)) = 0
(-1 + 3x + (-1 * -3x + 3x * -3x) + 2x2 * (-1 + 3x)) = 0
(-1 + 3x + (3x + -9x2) + 2x2 * (-1 + 3x)) = 0
(-1 + 3x + 3x + -9x2 + (-1 * 2x2 + 3x * 2x2)) = 0
(-1 + 3x + 3x + -9x2 + (-2x2 + 6x3)) = 0

Combine like terms: 3x + 3x = 6x
(-1 + 6x + -9x2 + -2x2 + 6x3) = 0

Combine like terms: -9x2 + -2x2 = -11x2
(-1 + 6x + -11x2 + 6x3) = 0

Solving
-1 + 6x + -11x2 + 6x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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