17ab+3a-4ab-6abc-20ab+10a=

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Solution for 17ab+3a-4ab-6abc-20ab+10a= equation: 


Simplifying
17ab + 3a + -4ab + -6abc + -20ab + 10a = 0

Reorder the terms:
3a + 10a + 17ab + -4ab + -20ab + -6abc = 0

Combine like terms: 3a + 10a = 13a
13a + 17ab + -4ab + -20ab + -6abc = 0

Combine like terms: 17ab + -4ab = 13ab
13a + 13ab + -20ab + -6abc = 0

Combine like terms: 13ab + -20ab = -7ab
13a + -7ab + -6abc = 0

Solving
13a + -7ab + -6abc = 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(13 + -7b + -6bc) = 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 '(13 + -7b + -6bc)' equal to zero and attempt to solve:

Simplifying
13 + -7b + -6bc = 0

Solving
13 + -7b + -6bc = 0

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

Add '-13' to each side of the equation.
13 + -7b + -13 + -6bc = 0 + -13

Reorder the terms:
13 + -13 + -7b + -6bc = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -7b + -6bc = 0 + -13
-7b + -6bc = 0 + -13

Combine like terms: 0 + -13 = -13
-7b + -6bc = -13

Add '7b' to each side of the equation.
-7b + 7b + -6bc = -13 + 7b

Combine like terms: -7b + 7b = 0
0 + -6bc = -13 + 7b
-6bc = -13 + 7b

Add '6bc' to each side of the equation.
-6bc + 6bc = -13 + 7b + 6bc

Combine like terms: -6bc + 6bc = 0
0 = -13 + 7b + 6bc

Simplifying
0 = -13 + 7b + 6bc

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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