(2x+1)(3x+1)(5x+1)(30x+1)=10

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Solution for (2x+1)(3x+1)(5x+1)(30x+1)=10 equation:


Simplifying
(2x + 1)(3x + 1)(5x + 1)(30x + 1) = 10

Reorder the terms:
(1 + 2x)(3x + 1)(5x + 1)(30x + 1) = 10

Reorder the terms:
(1 + 2x)(1 + 3x)(5x + 1)(30x + 1) = 10

Reorder the terms:
(1 + 2x)(1 + 3x)(1 + 5x)(30x + 1) = 10

Reorder the terms:
(1 + 2x)(1 + 3x)(1 + 5x)(1 + 30x) = 10

Multiply (1 + 2x) * (1 + 3x)
(1(1 + 3x) + 2x * (1 + 3x))(1 + 5x)(1 + 30x) = 10
((1 * 1 + 3x * 1) + 2x * (1 + 3x))(1 + 5x)(1 + 30x) = 10
((1 + 3x) + 2x * (1 + 3x))(1 + 5x)(1 + 30x) = 10
(1 + 3x + (1 * 2x + 3x * 2x))(1 + 5x)(1 + 30x) = 10
(1 + 3x + (2x + 6x2))(1 + 5x)(1 + 30x) = 10

Combine like terms: 3x + 2x = 5x
(1 + 5x + 6x2)(1 + 5x)(1 + 30x) = 10

Multiply (1 + 5x + 6x2) * (1 + 5x)
(1(1 + 5x) + 5x * (1 + 5x) + 6x2 * (1 + 5x))(1 + 30x) = 10
((1 * 1 + 5x * 1) + 5x * (1 + 5x) + 6x2 * (1 + 5x))(1 + 30x) = 10
((1 + 5x) + 5x * (1 + 5x) + 6x2 * (1 + 5x))(1 + 30x) = 10
(1 + 5x + (1 * 5x + 5x * 5x) + 6x2 * (1 + 5x))(1 + 30x) = 10
(1 + 5x + (5x + 25x2) + 6x2 * (1 + 5x))(1 + 30x) = 10
(1 + 5x + 5x + 25x2 + (1 * 6x2 + 5x * 6x2))(1 + 30x) = 10
(1 + 5x + 5x + 25x2 + (6x2 + 30x3))(1 + 30x) = 10

Combine like terms: 5x + 5x = 10x
(1 + 10x + 25x2 + 6x2 + 30x3)(1 + 30x) = 10

Combine like terms: 25x2 + 6x2 = 31x2
(1 + 10x + 31x2 + 30x3)(1 + 30x) = 10

Multiply (1 + 10x + 31x2 + 30x3) * (1 + 30x)
(1(1 + 30x) + 10x * (1 + 30x) + 31x2 * (1 + 30x) + 30x3 * (1 + 30x)) = 10
((1 * 1 + 30x * 1) + 10x * (1 + 30x) + 31x2 * (1 + 30x) + 30x3 * (1 + 30x)) = 10
((1 + 30x) + 10x * (1 + 30x) + 31x2 * (1 + 30x) + 30x3 * (1 + 30x)) = 10
(1 + 30x + (1 * 10x + 30x * 10x) + 31x2 * (1 + 30x) + 30x3 * (1 + 30x)) = 10
(1 + 30x + (10x + 300x2) + 31x2 * (1 + 30x) + 30x3 * (1 + 30x)) = 10
(1 + 30x + 10x + 300x2 + (1 * 31x2 + 30x * 31x2) + 30x3 * (1 + 30x)) = 10
(1 + 30x + 10x + 300x2 + (31x2 + 930x3) + 30x3 * (1 + 30x)) = 10
(1 + 30x + 10x + 300x2 + 31x2 + 930x3 + (1 * 30x3 + 30x * 30x3)) = 10
(1 + 30x + 10x + 300x2 + 31x2 + 930x3 + (30x3 + 900x4)) = 10

Combine like terms: 30x + 10x = 40x
(1 + 40x + 300x2 + 31x2 + 930x3 + 30x3 + 900x4) = 10

Combine like terms: 300x2 + 31x2 = 331x2
(1 + 40x + 331x2 + 930x3 + 30x3 + 900x4) = 10

Combine like terms: 930x3 + 30x3 = 960x3
(1 + 40x + 331x2 + 960x3 + 900x4) = 10

Solving
1 + 40x + 331x2 + 960x3 + 900x4 = 10

Solving for variable 'x'.

Reorder the terms:
1 + -10 + 40x + 331x2 + 960x3 + 900x4 = 10 + -10

Combine like terms: 1 + -10 = -9
-9 + 40x + 331x2 + 960x3 + 900x4 = 10 + -10

Combine like terms: 10 + -10 = 0
-9 + 40x + 331x2 + 960x3 + 900x4 = 0

The solution to this equation could not be determined.

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