-7abc(3a-2b-c)=

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Solution for -7abc(3a-2b-c)= equation: 


Simplifying
-7abc(3a + -2b + -1c) = 0
(3a * -7abc + -2b * -7abc + -1c * -7abc) = 0

Reorder the terms:
(7abc2 + 14ab2c + -21a2bc) = 0
(7abc2 + 14ab2c + -21a2bc) = 0

Solving
7abc2 + 14ab2c + -21a2bc = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '7abc'.
7abc(c + 2b + -3a) = 0

Ignore the factor 7.

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 '(c + 2b + -3a)' equal to zero and attempt to solve:

Simplifying
c + 2b + -3a = 0

Reorder the terms:
-3a + 2b + c = 0

Solving
-3a + 2b + c = 0

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

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

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

Add '-1c' to each side of the equation.
-3a + c + -1c = -2b + -1c

Combine like terms: c + -1c = 0
-3a + 0 = -2b + -1c
-3a = -2b + -1c

Divide each side by '-3'.
a = 0.6666666667b + 0.3333333333c

Simplifying
a = 0.6666666667b + 0.3333333333c
Solution
a = {0.6666666667b + 0.3333333333c}

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