a*a+ab+a=

Solution for a*a+ab+a= equation:

Simplifying
a * a + ab + a = 0

Multiply a * a
a2 + ab + a = 0

Reorder the terms:
a + ab + a2 = 0

Solving
a + ab + a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(1 + b + a) = 0

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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(1 + b + a)' equal to zero and attempt to solve:

Simplifying
1 + b + a = 0

Reorder the terms:
1 + a + b = 0

Solving
1 + a + b = 0

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

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

Reorder the terms:
1 + -1 + a + b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + a + b = 0 + -1
a + b = 0 + -1

Combine like terms: 0 + -1 = -1
a + b = -1

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

Combine like terms: b + -1b = 0
a + 0 = -1 + -1b
a = -1 + -1b

Simplifying
a = -1 + -1b
Solution
a = {0, -1 + -1b}