(x-1)(3x+7)+(2x-2)(x+3)(6x-6)+(6x-6)(x+1)=0

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Solution for (x-1)(3x+7)+(2x-2)(x+3)(6x-6)+(6x-6)(x+1)=0 equation: 


Simplifying
(x + -1)(3x + 7) + (2x + -2)(x + 3)(6x + -6) + (6x + -6)(x + 1) = 0

Reorder the terms:
(-1 + x)(3x + 7) + (2x + -2)(x + 3)(6x + -6) + (6x + -6)(x + 1) = 0

Reorder the terms:
(-1 + x)(7 + 3x) + (2x + -2)(x + 3)(6x + -6) + (6x + -6)(x + 1) = 0

Multiply (-1 + x) * (7 + 3x)
(-1(7 + 3x) + x(7 + 3x)) + (2x + -2)(x + 3)(6x + -6) + (6x + -6)(x + 1) = 0
((7 * -1 + 3x * -1) + x(7 + 3x)) + (2x + -2)(x + 3)(6x + -6) + (6x + -6)(x + 1) = 0
((-7 + -3x) + x(7 + 3x)) + (2x + -2)(x + 3)(6x + -6) + (6x + -6)(x + 1) = 0
(-7 + -3x + (7 * x + 3x * x)) + (2x + -2)(x + 3)(6x + -6) + (6x + -6)(x + 1) = 0
(-7 + -3x + (7x + 3x2)) + (2x + -2)(x + 3)(6x + -6) + (6x + -6)(x + 1) = 0

Combine like terms: -3x + 7x = 4x
(-7 + 4x + 3x2) + (2x + -2)(x + 3)(6x + -6) + (6x + -6)(x + 1) = 0

Reorder the terms:
-7 + 4x + 3x2 + (-2 + 2x)(x + 3)(6x + -6) + (6x + -6)(x + 1) = 0

Reorder the terms:
-7 + 4x + 3x2 + (-2 + 2x)(3 + x)(6x + -6) + (6x + -6)(x + 1) = 0

Reorder the terms:
-7 + 4x + 3x2 + (-2 + 2x)(3 + x)(-6 + 6x) + (6x + -6)(x + 1) = 0

Multiply (-2 + 2x) * (3 + x)
-7 + 4x + 3x2 + (-2(3 + x) + 2x * (3 + x))(-6 + 6x) + (6x + -6)(x + 1) = 0
-7 + 4x + 3x2 + ((3 * -2 + x * -2) + 2x * (3 + x))(-6 + 6x) + (6x + -6)(x + 1) = 0
-7 + 4x + 3x2 + ((-6 + -2x) + 2x * (3 + x))(-6 + 6x) + (6x + -6)(x + 1) = 0
-7 + 4x + 3x2 + (-6 + -2x + (3 * 2x + x * 2x))(-6 + 6x) + (6x + -6)(x + 1) = 0
-7 + 4x + 3x2 + (-6 + -2x + (6x + 2x2))(-6 + 6x) + (6x + -6)(x + 1) = 0

Combine like terms: -2x + 6x = 4x
-7 + 4x + 3x2 + (-6 + 4x + 2x2)(-6 + 6x) + (6x + -6)(x + 1) = 0

Multiply (-6 + 4x + 2x2) * (-6 + 6x)
-7 + 4x + 3x2 + (-6(-6 + 6x) + 4x * (-6 + 6x) + 2x2 * (-6 + 6x)) + (6x + -6)(x + 1) = 0
-7 + 4x + 3x2 + ((-6 * -6 + 6x * -6) + 4x * (-6 + 6x) + 2x2 * (-6 + 6x)) + (6x + -6)(x + 1) = 0
-7 + 4x + 3x2 + ((36 + -36x) + 4x * (-6 + 6x) + 2x2 * (-6 + 6x)) + (6x + -6)(x + 1) = 0
-7 + 4x + 3x2 + (36 + -36x + (-6 * 4x + 6x * 4x) + 2x2 * (-6 + 6x)) + (6x + -6)(x + 1) = 0
-7 + 4x + 3x2 + (36 + -36x + (-24x + 24x2) + 2x2 * (-6 + 6x)) + (6x + -6)(x + 1) = 0
-7 + 4x + 3x2 + (36 + -36x + -24x + 24x2 + (-6 * 2x2 + 6x * 2x2)) + (6x + -6)(x + 1) = 0
-7 + 4x + 3x2 + (36 + -36x + -24x + 24x2 + (-12x2 + 12x3)) + (6x + -6)(x + 1) = 0

Combine like terms: -36x + -24x = -60x
-7 + 4x + 3x2 + (36 + -60x + 24x2 + -12x2 + 12x3) + (6x + -6)(x + 1) = 0

Combine like terms: 24x2 + -12x2 = 12x2
-7 + 4x + 3x2 + (36 + -60x + 12x2 + 12x3) + (6x + -6)(x + 1) = 0

Reorder the terms:
-7 + 4x + 3x2 + 36 + -60x + 12x2 + 12x3 + (-6 + 6x)(x + 1) = 0

Reorder the terms:
-7 + 4x + 3x2 + 36 + -60x + 12x2 + 12x3 + (-6 + 6x)(1 + x) = 0

Multiply (-6 + 6x) * (1 + x)
-7 + 4x + 3x2 + 36 + -60x + 12x2 + 12x3 + (-6(1 + x) + 6x * (1 + x)) = 0
-7 + 4x + 3x2 + 36 + -60x + 12x2 + 12x3 + ((1 * -6 + x * -6) + 6x * (1 + x)) = 0
-7 + 4x + 3x2 + 36 + -60x + 12x2 + 12x3 + ((-6 + -6x) + 6x * (1 + x)) = 0
-7 + 4x + 3x2 + 36 + -60x + 12x2 + 12x3 + (-6 + -6x + (1 * 6x + x * 6x)) = 0
-7 + 4x + 3x2 + 36 + -60x + 12x2 + 12x3 + (-6 + -6x + (6x + 6x2)) = 0

Combine like terms: -6x + 6x = 0
-7 + 4x + 3x2 + 36 + -60x + 12x2 + 12x3 + (-6 + 0 + 6x2) = 0
-7 + 4x + 3x2 + 36 + -60x + 12x2 + 12x3 + (-6 + 6x2) = 0

Reorder the terms:
-7 + 36 + -6 + 4x + -60x + 3x2 + 12x2 + 6x2 + 12x3 = 0

Combine like terms: -7 + 36 = 29
29 + -6 + 4x + -60x + 3x2 + 12x2 + 6x2 + 12x3 = 0

Combine like terms: 29 + -6 = 23
23 + 4x + -60x + 3x2 + 12x2 + 6x2 + 12x3 = 0

Combine like terms: 4x + -60x = -56x
23 + -56x + 3x2 + 12x2 + 6x2 + 12x3 = 0

Combine like terms: 3x2 + 12x2 = 15x2
23 + -56x + 15x2 + 6x2 + 12x3 = 0

Combine like terms: 15x2 + 6x2 = 21x2
23 + -56x + 21x2 + 12x3 = 0

Solving
23 + -56x + 21x2 + 12x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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