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

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

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

Combine like terms: 21ab + -6ab = 15ab
13a + 15ab + -20ab + -5abc = 25a

Combine like terms: 15ab + -20ab = -5ab
13a + -5ab + -5abc = 25a

Solving
13a + -5ab + -5abc = 25a

Solving for variable 'a'.

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

Add '-25a' to each side of the equation.
13a + -5ab + -25a + -5abc = 25a + -25a

Reorder the terms:
13a + -25a + -5ab + -5abc = 25a + -25a

Combine like terms: 13a + -25a = -12a
-12a + -5ab + -5abc = 25a + -25a

Combine like terms: 25a + -25a = 0
-12a + -5ab + -5abc = 0

Factor out the Greatest Common Factor (GCF), '-1a'.
-1a(12 + 5b + 5bc) = 0

Ignore the factor -1.

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 '(12 + 5b + 5bc)' equal to zero and attempt to solve:

Simplifying
12 + 5b + 5bc = 0

Solving
12 + 5b + 5bc = 0

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

Add '-12' to each side of the equation.
12 + 5b + -12 + 5bc = 0 + -12

Reorder the terms:
12 + -12 + 5b + 5bc = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 5b + 5bc = 0 + -12
5b + 5bc = 0 + -12

Combine like terms: 0 + -12 = -12
5b + 5bc = -12

Add '-5b' to each side of the equation.
5b + -5b + 5bc = -12 + -5b

Combine like terms: 5b + -5b = 0
0 + 5bc = -12 + -5b
5bc = -12 + -5b

Add '-5bc' to each side of the equation.
5bc + -5bc = -12 + -5b + -5bc

Combine like terms: 5bc + -5bc = 0
0 = -12 + -5b + -5bc

Simplifying
0 = -12 + -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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