(x^3+x^2+x+1)(18x-18)=

Solution for (x^3+x^2+x+1)(18x-18)= equation:

Simplifying
(x3 + x2 + x + 1)(18x + -18) = 0

Reorder the terms:
(1 + x + x2 + x3)(18x + -18) = 0

Reorder the terms:
(1 + x + x2 + x3)(-18 + 18x) = 0

Multiply (1 + x + x2 + x3) * (-18 + 18x)
(1(-18 + 18x) + x(-18 + 18x) + x2(-18 + 18x) + x3(-18 + 18x)) = 0
((-18 * 1 + 18x * 1) + x(-18 + 18x) + x2(-18 + 18x) + x3(-18 + 18x)) = 0
((-18 + 18x) + x(-18 + 18x) + x2(-18 + 18x) + x3(-18 + 18x)) = 0
(-18 + 18x + (-18 * x + 18x * x) + x2(-18 + 18x) + x3(-18 + 18x)) = 0
(-18 + 18x + (-18x + 18x2) + x2(-18 + 18x) + x3(-18 + 18x)) = 0
(-18 + 18x + -18x + 18x2 + (-18 * x2 + 18x * x2) + x3(-18 + 18x)) = 0
(-18 + 18x + -18x + 18x2 + (-18x2 + 18x3) + x3(-18 + 18x)) = 0
(-18 + 18x + -18x + 18x2 + -18x2 + 18x3 + (-18 * x3 + 18x * x3)) = 0
(-18 + 18x + -18x + 18x2 + -18x2 + 18x3 + (-18x3 + 18x4)) = 0

Combine like terms: 18x + -18x = 0
(-18 + 0 + 18x2 + -18x2 + 18x3 + -18x3 + 18x4) = 0
(-18 + 18x2 + -18x2 + 18x3 + -18x3 + 18x4) = 0

Combine like terms: 18x2 + -18x2 = 0
(-18 + 0 + 18x3 + -18x3 + 18x4) = 0
(-18 + 18x3 + -18x3 + 18x4) = 0

Combine like terms: 18x3 + -18x3 = 0
(-18 + 0 + 18x4) = 0
(-18 + 18x4) = 0

Solving
-18 + 18x4 = 0

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 18x4 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 18x4 = 0 + 18
18x4 = 0 + 18

Combine like terms: 0 + 18 = 18
18x4 = 18

Divide each side by '18'.
x4 = 1

Simplifying
x4 = 1

Reorder the terms:
-1 + x4 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + x4 = 0

Factor a difference between two squares.
(1 + x2)(-1 + x2) = 0

Factor a difference between two squares.
(1 + x2)((1 + x)(-1 + x)) = 0

Subproblem 1
Set the factor '(1 + x2)' equal to zero and attempt to solve:

Simplifying
1 + x2 = 0

Solving
1 + x2 = 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 + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x2 = 0 + -1
x2 = 0 + -1

Combine like terms: 0 + -1 = -1
x2 = -1

Simplifying
x2 = -1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Subproblem 3
Set the factor '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 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 + x = 0 + 1

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

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

Simplifying
x = 1
Solution
x = {-1, 1}