=(3a-ba)(2a+5)

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Solution for =(3a-ba)(2a+5) equation: 


Simplifying
0 = (3a + -1ba)(2a + 5)

Reorder the terms:
0 = (3a + -1ab)(5 + 2a)

Multiply (3a + -1ab) * (5 + 2a)
0 = (3a * (5 + 2a) + -1ab * (5 + 2a))
0 = ((5 * 3a + 2a * 3a) + -1ab * (5 + 2a))
0 = ((15a + 6a2) + -1ab * (5 + 2a))
0 = (15a + 6a2 + (5 * -1ab + 2a * -1ab))
0 = (15a + 6a2 + (-5ab + -2a2b))

Reorder the terms:
0 = (15a + -5ab + 6a2 + -2a2b)
0 = (15a + -5ab + 6a2 + -2a2b)

Solving
0 = 15a + -5ab + 6a2 + -2a2b

Solving for variable 'a'.
Remove the zero:
-15a + 5ab + -6a2 + 2a2b = 15a + -5ab + 6a2 + -2a2b + -15a + 5ab + -6a2 + 2a2b

Reorder the terms:
-15a + 5ab + -6a2 + 2a2b = 15a + -15a + -5ab + 5ab + 6a2 + -6a2 + -2a2b + 2a2b

Combine like terms: 15a + -15a = 0
-15a + 5ab + -6a2 + 2a2b = 0 + -5ab + 5ab + 6a2 + -6a2 + -2a2b + 2a2b
-15a + 5ab + -6a2 + 2a2b = -5ab + 5ab + 6a2 + -6a2 + -2a2b + 2a2b

Combine like terms: -5ab + 5ab = 0
-15a + 5ab + -6a2 + 2a2b = 0 + 6a2 + -6a2 + -2a2b + 2a2b
-15a + 5ab + -6a2 + 2a2b = 6a2 + -6a2 + -2a2b + 2a2b

Combine like terms: 6a2 + -6a2 = 0
-15a + 5ab + -6a2 + 2a2b = 0 + -2a2b + 2a2b
-15a + 5ab + -6a2 + 2a2b = -2a2b + 2a2b

Combine like terms: -2a2b + 2a2b = 0
-15a + 5ab + -6a2 + 2a2b = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-15 + 5b + -6a + 2ab) = 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 '(-15 + 5b + -6a + 2ab)' equal to zero and attempt to solve:

Simplifying
-15 + 5b + -6a + 2ab = 0

Reorder the terms:
-15 + -6a + 2ab + 5b = 0

Solving
-15 + -6a + 2ab + 5b = 0

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

Add '15' to each side of the equation.
-15 + -6a + 2ab + 15 + 5b = 0 + 15

Reorder the terms:
-15 + 15 + -6a + 2ab + 5b = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -6a + 2ab + 5b = 0 + 15
-6a + 2ab + 5b = 0 + 15

Combine like terms: 0 + 15 = 15
-6a + 2ab + 5b = 15

Add '-5b' to each side of the equation.
-6a + 2ab + 5b + -5b = 15 + -5b

Combine like terms: 5b + -5b = 0
-6a + 2ab + 0 = 15 + -5b
-6a + 2ab = 15 + -5b

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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