((3x+2)*x(2x+5))+1=x

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


Simplifying
((3x + 2) * x(2x + 5)) + 1 = x

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

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

Reorder the terms for easier multiplication:
(x(2 + 3x)(5 + 2x)) + 1 = x

Multiply (2 + 3x) * (5 + 2x)
(x(2(5 + 2x) + 3x * (5 + 2x))) + 1 = x
(x((5 * 2 + 2x * 2) + 3x * (5 + 2x))) + 1 = x
(x((10 + 4x) + 3x * (5 + 2x))) + 1 = x
(x(10 + 4x + (5 * 3x + 2x * 3x))) + 1 = x
(x(10 + 4x + (15x + 6x2))) + 1 = x

Combine like terms: 4x + 15x = 19x
(x(10 + 19x + 6x2)) + 1 = x
((10 * x + 19x * x + 6x2 * x)) + 1 = x
((10x + 19x2 + 6x3)) + 1 = x
(10x + 19x2 + 6x3) + 1 = x

Remove parenthesis around (10x + 19x2 + 6x3)
10x + 19x2 + 6x3 + 1 = x

Reorder the terms:
1 + 10x + 19x2 + 6x3 = x

Solving
1 + 10x + 19x2 + 6x3 = x

Solving for variable 'x'.

Reorder the terms:
1 + 10x + -1x + 19x2 + 6x3 = x + -1x

Combine like terms: 10x + -1x = 9x
1 + 9x + 19x2 + 6x3 = x + -1x

Combine like terms: x + -1x = 0
1 + 9x + 19x2 + 6x3 = 0

The solution to this equation could not be determined.

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