21ab+3a-6ab-5abc-20ab+10a+25a=

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Solution for 21ab+3a-6ab-5abc-20ab+10a+25a= equation: 


Simplifying
21ab + 3a + -6ab + -5abc + -20ab + 10a + 25a = 0

Reorder the terms:
3a + 10a + 25a + 21ab + -6ab + -20ab + -5abc = 0

Combine like terms: 3a + 10a = 13a
13a + 25a + 21ab + -6ab + -20ab + -5abc = 0

Combine like terms: 13a + 25a = 38a
38a + 21ab + -6ab + -20ab + -5abc = 0

Combine like terms: 21ab + -6ab = 15ab
38a + 15ab + -20ab + -5abc = 0

Combine like terms: 15ab + -20ab = -5ab
38a + -5ab + -5abc = 0

Solving
38a + -5ab + -5abc = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'a'.
a(38 + -5b + -5bc) = 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 '(38 + -5b + -5bc)' equal to zero and attempt to solve:

Simplifying
38 + -5b + -5bc = 0

Solving
38 + -5b + -5bc = 0

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

Add '-38' to each side of the equation.
38 + -5b + -38 + -5bc = 0 + -38

Reorder the terms:
38 + -38 + -5b + -5bc = 0 + -38

Combine like terms: 38 + -38 = 0
0 + -5b + -5bc = 0 + -38
-5b + -5bc = 0 + -38

Combine like terms: 0 + -38 = -38
-5b + -5bc = -38

Add '5b' to each side of the equation.
-5b + 5b + -5bc = -38 + 5b

Combine like terms: -5b + 5b = 0
0 + -5bc = -38 + 5b
-5bc = -38 + 5b

Add '5bc' to each side of the equation.
-5bc + 5bc = -38 + 5b + 5bc

Combine like terms: -5bc + 5bc = 0
0 = -38 + 5b + 5bc

Simplifying
0 = -38 + 5b + 5bc

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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