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

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


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

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

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

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

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

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

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

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

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

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

Multiply (-6 + 11x + -6x2 + x3) * (-6 + x)
(-6(-6 + x) + 11x * (-6 + x) + -6x2 * (-6 + x) + x3(-6 + x)) = 3x2
((-6 * -6 + x * -6) + 11x * (-6 + x) + -6x2 * (-6 + x) + x3(-6 + x)) = 3x2
((36 + -6x) + 11x * (-6 + x) + -6x2 * (-6 + x) + x3(-6 + x)) = 3x2
(36 + -6x + (-6 * 11x + x * 11x) + -6x2 * (-6 + x) + x3(-6 + x)) = 3x2
(36 + -6x + (-66x + 11x2) + -6x2 * (-6 + x) + x3(-6 + x)) = 3x2
(36 + -6x + -66x + 11x2 + (-6 * -6x2 + x * -6x2) + x3(-6 + x)) = 3x2
(36 + -6x + -66x + 11x2 + (36x2 + -6x3) + x3(-6 + x)) = 3x2
(36 + -6x + -66x + 11x2 + 36x2 + -6x3 + (-6 * x3 + x * x3)) = 3x2
(36 + -6x + -66x + 11x2 + 36x2 + -6x3 + (-6x3 + x4)) = 3x2

Combine like terms: -6x + -66x = -72x
(36 + -72x + 11x2 + 36x2 + -6x3 + -6x3 + x4) = 3x2

Combine like terms: 11x2 + 36x2 = 47x2
(36 + -72x + 47x2 + -6x3 + -6x3 + x4) = 3x2

Combine like terms: -6x3 + -6x3 = -12x3
(36 + -72x + 47x2 + -12x3 + x4) = 3x2

Solving
36 + -72x + 47x2 + -12x3 + x4 = 3x2

Solving for variable 'x'.

Reorder the terms:
36 + -72x + 47x2 + -3x2 + -12x3 + x4 = 3x2 + -3x2

Combine like terms: 47x2 + -3x2 = 44x2
36 + -72x + 44x2 + -12x3 + x4 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
36 + -72x + 44x2 + -12x3 + x4 = 0

The solution to this equation could not be determined.

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