x^2+xy+x=

Solution for x^2+xy+x= equation:

Simplifying
x2 + xy + x = 0

Reorder the terms:
x + xy + x2 = 0

Solving
x + xy + x2 = 0

Solving for variable 'x'.

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

Simplifying
1 + y + x = 0

Reorder the terms:
1 + x + y = 0

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

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

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

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

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

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

Simplifying
x = -1 + -1y
Solution
x = {0, -1 + -1y}