(x+1)(x+2)(x+3)(x+6)=168x^2

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Solution for (x+1)(x+2)(x+3)(x+6)=168x^2 equation: 


Simplifying
(x + 1)(x + 2)(x + 3)(x + 6) = 168x2

Reorder the terms:
(1 + x)(x + 2)(x + 3)(x + 6) = 168x2

Reorder the terms:
(1 + x)(2 + x)(x + 3)(x + 6) = 168x2

Reorder the terms:
(1 + x)(2 + x)(3 + x)(x + 6) = 168x2

Reorder the terms:
(1 + x)(2 + x)(3 + x)(6 + x) = 168x2

Multiply (1 + x) * (2 + x)
(1(2 + x) + x(2 + x))(3 + x)(6 + x) = 168x2
((2 * 1 + x * 1) + x(2 + x))(3 + x)(6 + x) = 168x2
((2 + 1x) + x(2 + x))(3 + x)(6 + x) = 168x2
(2 + 1x + (2 * x + x * x))(3 + x)(6 + x) = 168x2
(2 + 1x + (2x + x2))(3 + x)(6 + x) = 168x2

Combine like terms: 1x + 2x = 3x
(2 + 3x + x2)(3 + x)(6 + x) = 168x2

Multiply (2 + 3x + x2) * (3 + x)
(2(3 + x) + 3x * (3 + x) + x2(3 + x))(6 + x) = 168x2
((3 * 2 + x * 2) + 3x * (3 + x) + x2(3 + x))(6 + x) = 168x2
((6 + 2x) + 3x * (3 + x) + x2(3 + x))(6 + x) = 168x2
(6 + 2x + (3 * 3x + x * 3x) + x2(3 + x))(6 + x) = 168x2
(6 + 2x + (9x + 3x2) + x2(3 + x))(6 + x) = 168x2
(6 + 2x + 9x + 3x2 + (3 * x2 + x * x2))(6 + x) = 168x2
(6 + 2x + 9x + 3x2 + (3x2 + x3))(6 + x) = 168x2

Combine like terms: 2x + 9x = 11x
(6 + 11x + 3x2 + 3x2 + x3)(6 + x) = 168x2

Combine like terms: 3x2 + 3x2 = 6x2
(6 + 11x + 6x2 + x3)(6 + x) = 168x2

Multiply (6 + 11x + 6x2 + x3) * (6 + x)
(6(6 + x) + 11x * (6 + x) + 6x2 * (6 + x) + x3(6 + x)) = 168x2
((6 * 6 + x * 6) + 11x * (6 + x) + 6x2 * (6 + x) + x3(6 + x)) = 168x2
((36 + 6x) + 11x * (6 + x) + 6x2 * (6 + x) + x3(6 + x)) = 168x2
(36 + 6x + (6 * 11x + x * 11x) + 6x2 * (6 + x) + x3(6 + x)) = 168x2
(36 + 6x + (66x + 11x2) + 6x2 * (6 + x) + x3(6 + x)) = 168x2
(36 + 6x + 66x + 11x2 + (6 * 6x2 + x * 6x2) + x3(6 + x)) = 168x2
(36 + 6x + 66x + 11x2 + (36x2 + 6x3) + x3(6 + x)) = 168x2
(36 + 6x + 66x + 11x2 + 36x2 + 6x3 + (6 * x3 + x * x3)) = 168x2
(36 + 6x + 66x + 11x2 + 36x2 + 6x3 + (6x3 + x4)) = 168x2

Combine like terms: 6x + 66x = 72x
(36 + 72x + 11x2 + 36x2 + 6x3 + 6x3 + x4) = 168x2

Combine like terms: 11x2 + 36x2 = 47x2
(36 + 72x + 47x2 + 6x3 + 6x3 + x4) = 168x2

Combine like terms: 6x3 + 6x3 = 12x3
(36 + 72x + 47x2 + 12x3 + x4) = 168x2

Solving
36 + 72x + 47x2 + 12x3 + x4 = 168x2

Solving for variable 'x'.

Reorder the terms:
36 + 72x + 47x2 + -168x2 + 12x3 + x4 = 168x2 + -168x2

Combine like terms: 47x2 + -168x2 = -121x2
36 + 72x + -121x2 + 12x3 + x4 = 168x2 + -168x2

Combine like terms: 168x2 + -168x2 = 0
36 + 72x + -121x2 + 12x3 + x4 = 0

The solution to this equation could not be determined.

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