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

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


Simplifying
(x3 + x + x2)(x + 5 + x2) = 0

Reorder the terms:
(x + x2 + x3)(x + 5 + x2) = 0

Reorder the terms:
(x + x2 + x3)(5 + x + x2) = 0

Multiply (x + x2 + x3) * (5 + x + x2)
(x(5 + x + x2) + x2(5 + x + x2) + x3(5 + x + x2)) = 0
((5 * x + x * x + x2 * x) + x2(5 + x + x2) + x3(5 + x + x2)) = 0
((5x + x2 + x3) + x2(5 + x + x2) + x3(5 + x + x2)) = 0
(5x + x2 + x3 + (5 * x2 + x * x2 + x2 * x2) + x3(5 + x + x2)) = 0
(5x + x2 + x3 + (5x2 + x3 + x4) + x3(5 + x + x2)) = 0
(5x + x2 + x3 + 5x2 + x3 + x4 + (5 * x3 + x * x3 + x2 * x3)) = 0
(5x + x2 + x3 + 5x2 + x3 + x4 + (5x3 + x4 + x5)) = 0

Reorder the terms:
(5x + x2 + 5x2 + x3 + x3 + 5x3 + x4 + x4 + x5) = 0

Combine like terms: x2 + 5x2 = 6x2
(5x + 6x2 + x3 + x3 + 5x3 + x4 + x4 + x5) = 0

Combine like terms: x3 + x3 = 2x3
(5x + 6x2 + 2x3 + 5x3 + x4 + x4 + x5) = 0

Combine like terms: 2x3 + 5x3 = 7x3
(5x + 6x2 + 7x3 + x4 + x4 + x5) = 0

Combine like terms: x4 + x4 = 2x4
(5x + 6x2 + 7x3 + 2x4 + x5) = 0

Solving
5x + 6x2 + 7x3 + 2x4 + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + 6x + 7x2 + 2x3 + x4) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(5 + 6x + 7x2 + 2x3 + x4)' equal to zero and attempt to solve:

Simplifying
5 + 6x + 7x2 + 2x3 + x4 = 0

Solving
5 + 6x + 7x2 + 2x3 + x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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