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

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


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

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

Reorder the terms for easier multiplication:
3(2 + x) + -1 = x(x + 5)(x + 1) + -2
(2 * 3 + x * 3) + -1 = x(x + 5)(x + 1) + -2
(6 + 3x) + -1 = x(x + 5)(x + 1) + -2

Reorder the terms:
6 + -1 + 3x = x(x + 5)(x + 1) + -2

Combine like terms: 6 + -1 = 5
5 + 3x = x(x + 5)(x + 1) + -2

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

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

Multiply (5 + x) * (1 + x)
5 + 3x = x(5(1 + x) + x(1 + x)) + -2
5 + 3x = x((1 * 5 + x * 5) + x(1 + x)) + -2
5 + 3x = x((5 + 5x) + x(1 + x)) + -2
5 + 3x = x(5 + 5x + (1 * x + x * x)) + -2
5 + 3x = x(5 + 5x + (1x + x2)) + -2

Combine like terms: 5x + 1x = 6x
5 + 3x = x(5 + 6x + x2) + -2
5 + 3x = (5 * x + 6x * x + x2 * x) + -2
5 + 3x = (5x + 6x2 + x3) + -2

Reorder the terms:
5 + 3x = -2 + 5x + 6x2 + x3

Solving
5 + 3x = -2 + 5x + 6x2 + x3

Solving for variable 'x'.

Reorder the terms:
5 + 2 + 3x + -5x + -6x2 + -1x3 = -2 + 5x + 6x2 + x3 + 2 + -5x + -6x2 + -1x3

Combine like terms: 5 + 2 = 7
7 + 3x + -5x + -6x2 + -1x3 = -2 + 5x + 6x2 + x3 + 2 + -5x + -6x2 + -1x3

Combine like terms: 3x + -5x = -2x
7 + -2x + -6x2 + -1x3 = -2 + 5x + 6x2 + x3 + 2 + -5x + -6x2 + -1x3

Reorder the terms:
7 + -2x + -6x2 + -1x3 = -2 + 2 + 5x + -5x + 6x2 + -6x2 + x3 + -1x3

Combine like terms: -2 + 2 = 0
7 + -2x + -6x2 + -1x3 = 0 + 5x + -5x + 6x2 + -6x2 + x3 + -1x3
7 + -2x + -6x2 + -1x3 = 5x + -5x + 6x2 + -6x2 + x3 + -1x3

Combine like terms: 5x + -5x = 0
7 + -2x + -6x2 + -1x3 = 0 + 6x2 + -6x2 + x3 + -1x3
7 + -2x + -6x2 + -1x3 = 6x2 + -6x2 + x3 + -1x3

Combine like terms: 6x2 + -6x2 = 0
7 + -2x + -6x2 + -1x3 = 0 + x3 + -1x3
7 + -2x + -6x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
7 + -2x + -6x2 + -1x3 = 0

The solution to this equation could not be determined.

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