(x^7+x^4+x)(x^3-1)=

Solution for (x^7+x^4+x)(x^3-1)= equation:

Simplifying
(x7 + x4 + x)(x3 + -1) = 0

Reorder the terms:
(x + x4 + x7)(x3 + -1) = 0

Reorder the terms:
(x + x4 + x7)(-1 + x3) = 0

Multiply (x + x4 + x7) * (-1 + x3)
(x(-1 + x3) + x4(-1 + x3) + x7(-1 + x3)) = 0
((-1 * x + x3 * x) + x4(-1 + x3) + x7(-1 + x3)) = 0
((-1x + x4) + x4(-1 + x3) + x7(-1 + x3)) = 0
(-1x + x4 + (-1 * x4 + x3 * x4) + x7(-1 + x3)) = 0
(-1x + x4 + (-1x4 + x7) + x7(-1 + x3)) = 0
(-1x + x4 + -1x4 + x7 + (-1 * x7 + x3 * x7)) = 0
(-1x + x4 + -1x4 + x7 + (-1x7 + x10)) = 0

Combine like terms: x4 + -1x4 = 0
(-1x + 0 + x7 + -1x7 + x10) = 0
(-1x + x7 + -1x7 + x10) = 0

Combine like terms: x7 + -1x7 = 0
(-1x + 0 + x10) = 0
(-1x + x10) = 0

Solving
-1x + x10 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + x9) = 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 '(-1 + x9)' equal to zero and attempt to solve:

Simplifying
-1 + x9 = 0

Solving
-1 + x9 = 0

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

Add '1' to each side of the equation.
-1 + 1 + x9 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + x9 = 0 + 1
x9 = 0 + 1

Combine like terms: 0 + 1 = 1
x9 = 1

Simplifying
x9 = 1

The solution to this equation could not be determined.

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