-2ac+-8ab+-13ab+21ac=

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Solution for -2ac+-8ab+-13ab+21ac= equation: 


Simplifying
-2ac + -8ab + -13ab + 21ac = 0

Reorder the terms:
-8ab + -13ab + -2ac + 21ac = 0

Combine like terms: -8ab + -13ab = -21ab
-21ab + -2ac + 21ac = 0

Combine like terms: -2ac + 21ac = 19ac
-21ab + 19ac = 0

Solving
-21ab + 19ac = 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(-21b + 19c) = 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 '(-21b + 19c)' equal to zero and attempt to solve:

Simplifying
-21b + 19c = 0

Solving
-21b + 19c = 0

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

Add '21b' to each side of the equation.
-21b + 21b + 19c = 0 + 21b

Combine like terms: -21b + 21b = 0
0 + 19c = 0 + 21b
19c = 0 + 21b
Remove the zero:
19c = 21b

Add '-19c' to each side of the equation.
19c + -19c = 21b + -19c

Combine like terms: 19c + -19c = 0
0 = 21b + -19c

Simplifying
0 = 21b + -19c

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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