(x+1)(2x+1)(x+4)(x+8)=36x^2

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Solution for (x+1)(2x+1)(x+4)(x+8)=36x^2 equation: 


Simplifying
(x + 1)(2x + 1)(x + 4)(x + 8) = 36x2

Reorder the terms:
(1 + x)(2x + 1)(x + 4)(x + 8) = 36x2

Reorder the terms:
(1 + x)(1 + 2x)(x + 4)(x + 8) = 36x2

Reorder the terms:
(1 + x)(1 + 2x)(4 + x)(x + 8) = 36x2

Reorder the terms:
(1 + x)(1 + 2x)(4 + x)(8 + x) = 36x2

Multiply (1 + x) * (1 + 2x)
(1(1 + 2x) + x(1 + 2x))(4 + x)(8 + x) = 36x2
((1 * 1 + 2x * 1) + x(1 + 2x))(4 + x)(8 + x) = 36x2
((1 + 2x) + x(1 + 2x))(4 + x)(8 + x) = 36x2
(1 + 2x + (1 * x + 2x * x))(4 + x)(8 + x) = 36x2
(1 + 2x + (1x + 2x2))(4 + x)(8 + x) = 36x2

Combine like terms: 2x + 1x = 3x
(1 + 3x + 2x2)(4 + x)(8 + x) = 36x2

Multiply (1 + 3x + 2x2) * (4 + x)
(1(4 + x) + 3x * (4 + x) + 2x2 * (4 + x))(8 + x) = 36x2
((4 * 1 + x * 1) + 3x * (4 + x) + 2x2 * (4 + x))(8 + x) = 36x2
((4 + 1x) + 3x * (4 + x) + 2x2 * (4 + x))(8 + x) = 36x2
(4 + 1x + (4 * 3x + x * 3x) + 2x2 * (4 + x))(8 + x) = 36x2
(4 + 1x + (12x + 3x2) + 2x2 * (4 + x))(8 + x) = 36x2
(4 + 1x + 12x + 3x2 + (4 * 2x2 + x * 2x2))(8 + x) = 36x2
(4 + 1x + 12x + 3x2 + (8x2 + 2x3))(8 + x) = 36x2

Combine like terms: 1x + 12x = 13x
(4 + 13x + 3x2 + 8x2 + 2x3)(8 + x) = 36x2

Combine like terms: 3x2 + 8x2 = 11x2
(4 + 13x + 11x2 + 2x3)(8 + x) = 36x2

Multiply (4 + 13x + 11x2 + 2x3) * (8 + x)
(4(8 + x) + 13x * (8 + x) + 11x2 * (8 + x) + 2x3 * (8 + x)) = 36x2
((8 * 4 + x * 4) + 13x * (8 + x) + 11x2 * (8 + x) + 2x3 * (8 + x)) = 36x2
((32 + 4x) + 13x * (8 + x) + 11x2 * (8 + x) + 2x3 * (8 + x)) = 36x2
(32 + 4x + (8 * 13x + x * 13x) + 11x2 * (8 + x) + 2x3 * (8 + x)) = 36x2
(32 + 4x + (104x + 13x2) + 11x2 * (8 + x) + 2x3 * (8 + x)) = 36x2
(32 + 4x + 104x + 13x2 + (8 * 11x2 + x * 11x2) + 2x3 * (8 + x)) = 36x2
(32 + 4x + 104x + 13x2 + (88x2 + 11x3) + 2x3 * (8 + x)) = 36x2
(32 + 4x + 104x + 13x2 + 88x2 + 11x3 + (8 * 2x3 + x * 2x3)) = 36x2
(32 + 4x + 104x + 13x2 + 88x2 + 11x3 + (16x3 + 2x4)) = 36x2

Combine like terms: 4x + 104x = 108x
(32 + 108x + 13x2 + 88x2 + 11x3 + 16x3 + 2x4) = 36x2

Combine like terms: 13x2 + 88x2 = 101x2
(32 + 108x + 101x2 + 11x3 + 16x3 + 2x4) = 36x2

Combine like terms: 11x3 + 16x3 = 27x3
(32 + 108x + 101x2 + 27x3 + 2x4) = 36x2

Solving
32 + 108x + 101x2 + 27x3 + 2x4 = 36x2

Solving for variable 'x'.

Reorder the terms:
32 + 108x + 101x2 + -36x2 + 27x3 + 2x4 = 36x2 + -36x2

Combine like terms: 101x2 + -36x2 = 65x2
32 + 108x + 65x2 + 27x3 + 2x4 = 36x2 + -36x2

Combine like terms: 36x2 + -36x2 = 0
32 + 108x + 65x2 + 27x3 + 2x4 = 0

The solution to this equation could not be determined.

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