(x+7)(x-1)(2x+1)(x-3)=8

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Solution for (x+7)(x-1)(2x+1)(x-3)=8 equation: 


Simplifying
(x + 7)(x + -1)(2x + 1)(x + -3) = 8

Reorder the terms:
(7 + x)(x + -1)(2x + 1)(x + -3) = 8

Reorder the terms:
(7 + x)(-1 + x)(2x + 1)(x + -3) = 8

Reorder the terms:
(7 + x)(-1 + x)(1 + 2x)(x + -3) = 8

Reorder the terms:
(7 + x)(-1 + x)(1 + 2x)(-3 + x) = 8

Multiply (7 + x) * (-1 + x)
(7(-1 + x) + x(-1 + x))(1 + 2x)(-3 + x) = 8
((-1 * 7 + x * 7) + x(-1 + x))(1 + 2x)(-3 + x) = 8
((-7 + 7x) + x(-1 + x))(1 + 2x)(-3 + x) = 8
(-7 + 7x + (-1 * x + x * x))(1 + 2x)(-3 + x) = 8
(-7 + 7x + (-1x + x2))(1 + 2x)(-3 + x) = 8

Combine like terms: 7x + -1x = 6x
(-7 + 6x + x2)(1 + 2x)(-3 + x) = 8

Multiply (-7 + 6x + x2) * (1 + 2x)
(-7(1 + 2x) + 6x * (1 + 2x) + x2(1 + 2x))(-3 + x) = 8
((1 * -7 + 2x * -7) + 6x * (1 + 2x) + x2(1 + 2x))(-3 + x) = 8
((-7 + -14x) + 6x * (1 + 2x) + x2(1 + 2x))(-3 + x) = 8
(-7 + -14x + (1 * 6x + 2x * 6x) + x2(1 + 2x))(-3 + x) = 8
(-7 + -14x + (6x + 12x2) + x2(1 + 2x))(-3 + x) = 8
(-7 + -14x + 6x + 12x2 + (1 * x2 + 2x * x2))(-3 + x) = 8
(-7 + -14x + 6x + 12x2 + (1x2 + 2x3))(-3 + x) = 8

Combine like terms: -14x + 6x = -8x
(-7 + -8x + 12x2 + 1x2 + 2x3)(-3 + x) = 8

Combine like terms: 12x2 + 1x2 = 13x2
(-7 + -8x + 13x2 + 2x3)(-3 + x) = 8

Multiply (-7 + -8x + 13x2 + 2x3) * (-3 + x)
(-7(-3 + x) + -8x * (-3 + x) + 13x2 * (-3 + x) + 2x3 * (-3 + x)) = 8
((-3 * -7 + x * -7) + -8x * (-3 + x) + 13x2 * (-3 + x) + 2x3 * (-3 + x)) = 8
((21 + -7x) + -8x * (-3 + x) + 13x2 * (-3 + x) + 2x3 * (-3 + x)) = 8
(21 + -7x + (-3 * -8x + x * -8x) + 13x2 * (-3 + x) + 2x3 * (-3 + x)) = 8
(21 + -7x + (24x + -8x2) + 13x2 * (-3 + x) + 2x3 * (-3 + x)) = 8
(21 + -7x + 24x + -8x2 + (-3 * 13x2 + x * 13x2) + 2x3 * (-3 + x)) = 8
(21 + -7x + 24x + -8x2 + (-39x2 + 13x3) + 2x3 * (-3 + x)) = 8
(21 + -7x + 24x + -8x2 + -39x2 + 13x3 + (-3 * 2x3 + x * 2x3)) = 8
(21 + -7x + 24x + -8x2 + -39x2 + 13x3 + (-6x3 + 2x4)) = 8

Combine like terms: -7x + 24x = 17x
(21 + 17x + -8x2 + -39x2 + 13x3 + -6x3 + 2x4) = 8

Combine like terms: -8x2 + -39x2 = -47x2
(21 + 17x + -47x2 + 13x3 + -6x3 + 2x4) = 8

Combine like terms: 13x3 + -6x3 = 7x3
(21 + 17x + -47x2 + 7x3 + 2x4) = 8

Solving
21 + 17x + -47x2 + 7x3 + 2x4 = 8

Solving for variable 'x'.

Reorder the terms:
21 + -8 + 17x + -47x2 + 7x3 + 2x4 = 8 + -8

Combine like terms: 21 + -8 = 13
13 + 17x + -47x2 + 7x3 + 2x4 = 8 + -8

Combine like terms: 8 + -8 = 0
13 + 17x + -47x2 + 7x3 + 2x4 = 0

The solution to this equation could not be determined.

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