(a-b)(2a+ab)=

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Solution for (a-b)(2a+ab)= equation: 


Simplifying
(a + -1b)(2a + ab) = 0

Multiply (a + -1b) * (2a + ab)
(a(2a + ab) + -1b * (2a + ab)) = 0
((2a * a + ab * a) + -1b * (2a + ab)) = 0
((2a2 + a2b) + -1b * (2a + ab)) = 0
(2a2 + a2b + (2a * -1b + ab * -1b)) = 0
(2a2 + a2b + (-2ab + -1ab2)) = 0

Reorder the terms:
(-2ab + -1ab2 + 2a2 + a2b) = 0
(-2ab + -1ab2 + 2a2 + a2b) = 0

Solving
-2ab + -1ab2 + 2a2 + a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-2b + -1b2 + 2a + ab) = 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 '(-2b + -1b2 + 2a + ab)' equal to zero and attempt to solve:

Simplifying
-2b + -1b2 + 2a + ab = 0

Reorder the terms:
2a + ab + -2b + -1b2 = 0

Solving
2a + ab + -2b + -1b2 = 0

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

Add '2b' to each side of the equation.
2a + ab + -2b + 2b + -1b2 = 0 + 2b

Combine like terms: -2b + 2b = 0
2a + ab + 0 + -1b2 = 0 + 2b
2a + ab + -1b2 = 0 + 2b
Remove the zero:
2a + ab + -1b2 = 2b

Add 'b2' to each side of the equation.
2a + ab + -1b2 + b2 = 2b + b2

Combine like terms: -1b2 + b2 = 0
2a + ab + 0 = 2b + b2
2a + ab = 2b + b2

The solution to this equation could not be determined.

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

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