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

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


Simplifying
(3x + 3)(2x + 2) = x3 + 3x2 + 3x + 1

Reorder the terms:
(3 + 3x)(2x + 2) = x3 + 3x2 + 3x + 1

Reorder the terms:
(3 + 3x)(2 + 2x) = x3 + 3x2 + 3x + 1

Multiply (3 + 3x) * (2 + 2x)
(3(2 + 2x) + 3x * (2 + 2x)) = x3 + 3x2 + 3x + 1
((2 * 3 + 2x * 3) + 3x * (2 + 2x)) = x3 + 3x2 + 3x + 1
((6 + 6x) + 3x * (2 + 2x)) = x3 + 3x2 + 3x + 1
(6 + 6x + (2 * 3x + 2x * 3x)) = x3 + 3x2 + 3x + 1
(6 + 6x + (6x + 6x2)) = x3 + 3x2 + 3x + 1

Combine like terms: 6x + 6x = 12x
(6 + 12x + 6x2) = x3 + 3x2 + 3x + 1

Reorder the terms:
6 + 12x + 6x2 = 1 + 3x + 3x2 + x3

Solving
6 + 12x + 6x2 = 1 + 3x + 3x2 + x3

Solving for variable 'x'.

Reorder the terms:
6 + -1 + 12x + -3x + 6x2 + -3x2 + -1x3 = 1 + 3x + 3x2 + x3 + -1 + -3x + -3x2 + -1x3

Combine like terms: 6 + -1 = 5
5 + 12x + -3x + 6x2 + -3x2 + -1x3 = 1 + 3x + 3x2 + x3 + -1 + -3x + -3x2 + -1x3

Combine like terms: 12x + -3x = 9x
5 + 9x + 6x2 + -3x2 + -1x3 = 1 + 3x + 3x2 + x3 + -1 + -3x + -3x2 + -1x3

Combine like terms: 6x2 + -3x2 = 3x2
5 + 9x + 3x2 + -1x3 = 1 + 3x + 3x2 + x3 + -1 + -3x + -3x2 + -1x3

Reorder the terms:
5 + 9x + 3x2 + -1x3 = 1 + -1 + 3x + -3x + 3x2 + -3x2 + x3 + -1x3

Combine like terms: 1 + -1 = 0
5 + 9x + 3x2 + -1x3 = 0 + 3x + -3x + 3x2 + -3x2 + x3 + -1x3
5 + 9x + 3x2 + -1x3 = 3x + -3x + 3x2 + -3x2 + x3 + -1x3

Combine like terms: 3x + -3x = 0
5 + 9x + 3x2 + -1x3 = 0 + 3x2 + -3x2 + x3 + -1x3
5 + 9x + 3x2 + -1x3 = 3x2 + -3x2 + x3 + -1x3

Combine like terms: 3x2 + -3x2 = 0
5 + 9x + 3x2 + -1x3 = 0 + x3 + -1x3
5 + 9x + 3x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
5 + 9x + 3x2 + -1x3 = 0

The solution to this equation could not be determined.

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