-8x+2xy+5xy+x=

Solution for -8x+2xy+5xy+x= equation:

Simplifying
-8x + 2xy + 5xy + x = 0

Reorder the terms:
-8x + x + 2xy + 5xy = 0

Combine like terms: -8x + x = -7x
-7x + 2xy + 5xy = 0

Combine like terms: 2xy + 5xy = 7xy
-7x + 7xy = 0

Solving
-7x + 7xy = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '7x'.
7x(-1 + y) = 0

Ignore the factor 7.
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 + y)' equal to zero and attempt to solve:

Simplifying
-1 + y = 0

Solving
-1 + y = 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 + y = 0 + 1

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

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

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

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

Simplifying
0 = 1 + -1y

The solution to this equation could not be determined.

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