(6x+1)(7x^2+3x+1)=x

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


Simplifying
(6x + 1)(7x2 + 3x + 1) = x

Reorder the terms:
(1 + 6x)(7x2 + 3x + 1) = x

Reorder the terms:
(1 + 6x)(1 + 3x + 7x2) = x

Multiply (1 + 6x) * (1 + 3x + 7x2)
(1(1 + 3x + 7x2) + 6x * (1 + 3x + 7x2)) = x
((1 * 1 + 3x * 1 + 7x2 * 1) + 6x * (1 + 3x + 7x2)) = x
((1 + 3x + 7x2) + 6x * (1 + 3x + 7x2)) = x
(1 + 3x + 7x2 + (1 * 6x + 3x * 6x + 7x2 * 6x)) = x
(1 + 3x + 7x2 + (6x + 18x2 + 42x3)) = x

Reorder the terms:
(1 + 3x + 6x + 7x2 + 18x2 + 42x3) = x

Combine like terms: 3x + 6x = 9x
(1 + 9x + 7x2 + 18x2 + 42x3) = x

Combine like terms: 7x2 + 18x2 = 25x2
(1 + 9x + 25x2 + 42x3) = x

Solving
1 + 9x + 25x2 + 42x3 = x

Solving for variable 'x'.

Reorder the terms:
1 + 9x + -1x + 25x2 + 42x3 = x + -1x

Combine like terms: 9x + -1x = 8x
1 + 8x + 25x2 + 42x3 = x + -1x

Combine like terms: x + -1x = 0
1 + 8x + 25x2 + 42x3 = 0

The solution to this equation could not be determined.

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