X*x*x*x+x*x*x-x*x=

Solution for X*x*x*x+x*x*x-x*x= equation:

Simplifying
X * x * x * x + x * x * x + -1x * x = 0

Multiply X * x
xX * x * x + x * x * x + -1x * x = 0

Multiply xX * x
x2X * x + x * x * x + -1x * x = 0

Multiply x2X * x
x3X + x * x * x + -1x * x = 0

Multiply x * x
x3X + x2 * x + -1x * x = 0

Multiply x2 * x
x3X + x3 + -1x * x = 0

Multiply x * x
x3X + x3 + -1x2 = 0

Reorder the terms:
-1x2 + x3 + x3X = 0

Solving
-1x2 + x3 + x3X = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-1 + x + xX) = 0

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

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(-1 + x + xX)' equal to zero and attempt to solve:

Simplifying
-1 + x + xX = 0

Solving
-1 + x + xX = 0

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

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

Reorder the terms:
-1 + 1 + x + xX = 0 + 1

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

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