5ab+10a-20abc=

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Solution for 5ab+10a-20abc= equation: 


Simplifying
5ab + 10a + -20abc = 0

Reorder the terms:
10a + 5ab + -20abc = 0

Solving
10a + 5ab + -20abc = 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), '5a'.
5a(2 + b + -4bc) = 0

Ignore the factor 5.

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 '(2 + b + -4bc)' equal to zero and attempt to solve:

Simplifying
2 + b + -4bc = 0

Solving
2 + b + -4bc = 0

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

Add '-2' to each side of the equation.
2 + b + -2 + -4bc = 0 + -2

Reorder the terms:
2 + -2 + b + -4bc = 0 + -2

Combine like terms: 2 + -2 = 0
0 + b + -4bc = 0 + -2
b + -4bc = 0 + -2

Combine like terms: 0 + -2 = -2
b + -4bc = -2

Add '-1b' to each side of the equation.
b + -1b + -4bc = -2 + -1b

Combine like terms: b + -1b = 0
0 + -4bc = -2 + -1b
-4bc = -2 + -1b

Add '4bc' to each side of the equation.
-4bc + 4bc = -2 + -1b + 4bc

Combine like terms: -4bc + 4bc = 0
0 = -2 + -1b + 4bc

Simplifying
0 = -2 + -1b + 4bc

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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