(a+3b)(2a-ab)=

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Solution for (a+3b)(2a-ab)= equation: 


Simplifying
(a + 3b)(2a + -1ab) = 0

Multiply (a + 3b) * (2a + -1ab)
(a(2a + -1ab) + 3b * (2a + -1ab)) = 0
((2a * a + -1ab * a) + 3b * (2a + -1ab)) = 0
((2a2 + -1a2b) + 3b * (2a + -1ab)) = 0
(2a2 + -1a2b + (2a * 3b + -1ab * 3b)) = 0
(2a2 + -1a2b + (6ab + -3ab2)) = 0

Reorder the terms:
(6ab + -3ab2 + 2a2 + -1a2b) = 0
(6ab + -3ab2 + 2a2 + -1a2b) = 0

Solving
6ab + -3ab2 + 2a2 + -1a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(6b + -3b2 + 2a + -1ab) = 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 '(6b + -3b2 + 2a + -1ab)' equal to zero and attempt to solve:

Simplifying
6b + -3b2 + 2a + -1ab = 0

Reorder the terms:
2a + -1ab + 6b + -3b2 = 0

Solving
2a + -1ab + 6b + -3b2 = 0

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

Add '-6b' to each side of the equation.
2a + -1ab + 6b + -6b + -3b2 = 0 + -6b

Combine like terms: 6b + -6b = 0
2a + -1ab + 0 + -3b2 = 0 + -6b
2a + -1ab + -3b2 = 0 + -6b
Remove the zero:
2a + -1ab + -3b2 = -6b

Add '3b2' to each side of the equation.
2a + -1ab + -3b2 + 3b2 = -6b + 3b2

Combine like terms: -3b2 + 3b2 = 0
2a + -1ab + 0 = -6b + 3b2
2a + -1ab = -6b + 3b2

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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