(3x-2)(x^2-6x+1)=0

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Solution for (3x-2)(x^2-6x+1)=0 equation:


Simplifying
(3x + -2)(x2 + -6x + 1) = 0

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

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

Multiply (-2 + 3x) * (1 + -6x + x2)
(-2(1 + -6x + x2) + 3x * (1 + -6x + x2)) = 0
((1 * -2 + -6x * -2 + x2 * -2) + 3x * (1 + -6x + x2)) = 0
((-2 + 12x + -2x2) + 3x * (1 + -6x + x2)) = 0
(-2 + 12x + -2x2 + (1 * 3x + -6x * 3x + x2 * 3x)) = 0
(-2 + 12x + -2x2 + (3x + -18x2 + 3x3)) = 0

Reorder the terms:
(-2 + 12x + 3x + -2x2 + -18x2 + 3x3) = 0

Combine like terms: 12x + 3x = 15x
(-2 + 15x + -2x2 + -18x2 + 3x3) = 0

Combine like terms: -2x2 + -18x2 = -20x2
(-2 + 15x + -20x2 + 3x3) = 0

Solving
-2 + 15x + -20x2 + 3x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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