(x+2)(x^5+x+1)=x^6+2x^5+x^2+3x+2

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Solution for (x+2)(x^5+x+1)=x^6+2x^5+x^2+3x+2 equation: 


Simplifying
(x + 2)(x5 + x + 1) = x6 + 2x5 + x2 + 3x + 2

Reorder the terms:
(2 + x)(x5 + x + 1) = x6 + 2x5 + x2 + 3x + 2

Reorder the terms:
(2 + x)(1 + x + x5) = x6 + 2x5 + x2 + 3x + 2

Multiply (2 + x) * (1 + x + x5)
(2(1 + x + x5) + x(1 + x + x5)) = x6 + 2x5 + x2 + 3x + 2
((1 * 2 + x * 2 + x5 * 2) + x(1 + x + x5)) = x6 + 2x5 + x2 + 3x + 2
((2 + 2x + 2x5) + x(1 + x + x5)) = x6 + 2x5 + x2 + 3x + 2
(2 + 2x + 2x5 + (1 * x + x * x + x5 * x)) = x6 + 2x5 + x2 + 3x + 2
(2 + 2x + 2x5 + (1x + x2 + x6)) = x6 + 2x5 + x2 + 3x + 2

Reorder the terms:
(2 + 2x + 1x + x2 + 2x5 + x6) = x6 + 2x5 + x2 + 3x + 2

Combine like terms: 2x + 1x = 3x
(2 + 3x + x2 + 2x5 + x6) = x6 + 2x5 + x2 + 3x + 2

Reorder the terms:
2 + 3x + x2 + 2x5 + x6 = 2 + 3x + x2 + 2x5 + x6

Add '-2' to each side of the equation.
2 + 3x + x2 + 2x5 + -2 + x6 = 2 + 3x + x2 + 2x5 + -2 + x6

Reorder the terms:
2 + -2 + 3x + x2 + 2x5 + x6 = 2 + 3x + x2 + 2x5 + -2 + x6

Combine like terms: 2 + -2 = 0
0 + 3x + x2 + 2x5 + x6 = 2 + 3x + x2 + 2x5 + -2 + x6
3x + x2 + 2x5 + x6 = 2 + 3x + x2 + 2x5 + -2 + x6

Reorder the terms:
3x + x2 + 2x5 + x6 = 2 + -2 + 3x + x2 + 2x5 + x6

Combine like terms: 2 + -2 = 0
3x + x2 + 2x5 + x6 = 0 + 3x + x2 + 2x5 + x6
3x + x2 + 2x5 + x6 = 3x + x2 + 2x5 + x6

Add '-3x' to each side of the equation.
3x + x2 + 2x5 + -3x + x6 = 3x + x2 + 2x5 + -3x + x6

Reorder the terms:
3x + -3x + x2 + 2x5 + x6 = 3x + x2 + 2x5 + -3x + x6

Combine like terms: 3x + -3x = 0
0 + x2 + 2x5 + x6 = 3x + x2 + 2x5 + -3x + x6
x2 + 2x5 + x6 = 3x + x2 + 2x5 + -3x + x6

Reorder the terms:
x2 + 2x5 + x6 = 3x + -3x + x2 + 2x5 + x6

Combine like terms: 3x + -3x = 0
x2 + 2x5 + x6 = 0 + x2 + 2x5 + x6
x2 + 2x5 + x6 = x2 + 2x5 + x6

Add '-1x2' to each side of the equation.
x2 + 2x5 + -1x2 + x6 = x2 + 2x5 + -1x2 + x6

Reorder the terms:
x2 + -1x2 + 2x5 + x6 = x2 + 2x5 + -1x2 + x6

Combine like terms: x2 + -1x2 = 0
0 + 2x5 + x6 = x2 + 2x5 + -1x2 + x6
2x5 + x6 = x2 + 2x5 + -1x2 + x6

Reorder the terms:
2x5 + x6 = x2 + -1x2 + 2x5 + x6

Combine like terms: x2 + -1x2 = 0
2x5 + x6 = 0 + 2x5 + x6
2x5 + x6 = 2x5 + x6

Add '-2x5' to each side of the equation.
2x5 + -2x5 + x6 = 2x5 + -2x5 + x6

Combine like terms: 2x5 + -2x5 = 0
0 + x6 = 2x5 + -2x5 + x6
x6 = 2x5 + -2x5 + x6

Combine like terms: 2x5 + -2x5 = 0
x6 = 0 + x6
x6 = x6

Add '-1x6' to each side of the equation.
x6 + -1x6 = x6 + -1x6

Combine like terms: x6 + -1x6 = 0
0 = x6 + -1x6

Combine like terms: x6 + -1x6 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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