20abc^2+10ab^2c+15a^2b^2c^2=

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Solution for 20abc^2+10ab^2c+15a^2b^2c^2= equation: 


Simplifying
20abc2 + 10ab2c + 15a2b2c2 = 0

Solving
20abc2 + 10ab2c + 15a2b2c2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5abc'.
5abc(4c + 2b + 3abc) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'abc' equal to zero and attempt to solve:

Simplifying
abc = 0

Solving
abc = 0

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

Simplifying
abc = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(4c + 2b + 3abc)' equal to zero and attempt to solve:

Simplifying
4c + 2b + 3abc = 0

Reorder the terms:
3abc + 2b + 4c = 0

Solving
3abc + 2b + 4c = 0

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

Add '-2b' to each side of the equation.
3abc + 2b + -2b + 4c = 0 + -2b

Combine like terms: 2b + -2b = 0
3abc + 0 + 4c = 0 + -2b
3abc + 4c = 0 + -2b
Remove the zero:
3abc + 4c = -2b

Add '-4c' to each side of the equation.
3abc + 4c + -4c = -2b + -4c

Combine like terms: 4c + -4c = 0
3abc + 0 = -2b + -4c
3abc = -2b + -4c

Divide each side by '3bc'.
a = -0.6666666667c-1 + -1.333333333b-1

Simplifying
a = -0.6666666667c-1 + -1.333333333b-1

Reorder the terms:
a = -1.333333333b-1 + -0.6666666667c-1
Solution
a = {-1.333333333b-1 + -0.6666666667c-1}

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