(x-3)(x+2)(x-6)(x-1)=-56

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Solution for (x-3)(x+2)(x-6)(x-1)=-56 equation:


Simplifying
(x + -3)(x + 2)(x + -6)(x + -1) = -56

Reorder the terms:
(-3 + x)(x + 2)(x + -6)(x + -1) = -56

Reorder the terms:
(-3 + x)(2 + x)(x + -6)(x + -1) = -56

Reorder the terms:
(-3 + x)(2 + x)(-6 + x)(x + -1) = -56

Reorder the terms:
(-3 + x)(2 + x)(-6 + x)(-1 + x) = -56

Multiply (-3 + x) * (2 + x)
(-3(2 + x) + x(2 + x))(-6 + x)(-1 + x) = -56
((2 * -3 + x * -3) + x(2 + x))(-6 + x)(-1 + x) = -56
((-6 + -3x) + x(2 + x))(-6 + x)(-1 + x) = -56
(-6 + -3x + (2 * x + x * x))(-6 + x)(-1 + x) = -56
(-6 + -3x + (2x + x2))(-6 + x)(-1 + x) = -56

Combine like terms: -3x + 2x = -1x
(-6 + -1x + x2)(-6 + x)(-1 + x) = -56

Multiply (-6 + -1x + x2) * (-6 + x)
(-6(-6 + x) + -1x * (-6 + x) + x2(-6 + x))(-1 + x) = -56
((-6 * -6 + x * -6) + -1x * (-6 + x) + x2(-6 + x))(-1 + x) = -56
((36 + -6x) + -1x * (-6 + x) + x2(-6 + x))(-1 + x) = -56
(36 + -6x + (-6 * -1x + x * -1x) + x2(-6 + x))(-1 + x) = -56
(36 + -6x + (6x + -1x2) + x2(-6 + x))(-1 + x) = -56
(36 + -6x + 6x + -1x2 + (-6 * x2 + x * x2))(-1 + x) = -56
(36 + -6x + 6x + -1x2 + (-6x2 + x3))(-1 + x) = -56

Combine like terms: -6x + 6x = 0
(36 + 0 + -1x2 + -6x2 + x3)(-1 + x) = -56
(36 + -1x2 + -6x2 + x3)(-1 + x) = -56

Combine like terms: -1x2 + -6x2 = -7x2
(36 + -7x2 + x3)(-1 + x) = -56

Multiply (36 + -7x2 + x3) * (-1 + x)
(36(-1 + x) + -7x2 * (-1 + x) + x3(-1 + x)) = -56
((-1 * 36 + x * 36) + -7x2 * (-1 + x) + x3(-1 + x)) = -56
((-36 + 36x) + -7x2 * (-1 + x) + x3(-1 + x)) = -56
(-36 + 36x + (-1 * -7x2 + x * -7x2) + x3(-1 + x)) = -56
(-36 + 36x + (7x2 + -7x3) + x3(-1 + x)) = -56
(-36 + 36x + 7x2 + -7x3 + (-1 * x3 + x * x3)) = -56
(-36 + 36x + 7x2 + -7x3 + (-1x3 + x4)) = -56

Combine like terms: -7x3 + -1x3 = -8x3
(-36 + 36x + 7x2 + -8x3 + x4) = -56

Solving
-36 + 36x + 7x2 + -8x3 + x4 = -56

Solving for variable 'x'.

Reorder the terms:
-36 + 56 + 36x + 7x2 + -8x3 + x4 = -56 + 56

Combine like terms: -36 + 56 = 20
20 + 36x + 7x2 + -8x3 + x4 = -56 + 56

Combine like terms: -56 + 56 = 0
20 + 36x + 7x2 + -8x3 + x4 = 0

The solution to this equation could not be determined.

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