6a^2b(-3a+2b-5c)=

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Solution for 6a^2b(-3a+2b-5c)= equation: 


Simplifying
6a2b(-3a + 2b + -5c) = 0
(-3a * 6a2b + 2b * 6a2b + -5c * 6a2b) = 0

Reorder the terms:
(-30a2bc + 12a2b2 + -18a3b) = 0
(-30a2bc + 12a2b2 + -18a3b) = 0

Solving
-30a2bc + 12a2b2 + -18a3b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6a2b'.
6a2b(-5c + 2b + -3a) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'a2b' equal to zero and attempt to solve:

Simplifying
a2b = 0

Solving
a2b = 0

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

Simplifying
a2b = 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 '(-5c + 2b + -3a)' equal to zero and attempt to solve:

Simplifying
-5c + 2b + -3a = 0

Reorder the terms:
-3a + 2b + -5c = 0

Solving
-3a + 2b + -5c = 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 + -5c = 0 + -2b

Combine like terms: 2b + -2b = 0
-3a + 0 + -5c = 0 + -2b
-3a + -5c = 0 + -2b
Remove the zero:
-3a + -5c = -2b

Add '5c' to each side of the equation.
-3a + -5c + 5c = -2b + 5c

Combine like terms: -5c + 5c = 0
-3a + 0 = -2b + 5c
-3a = -2b + 5c

Divide each side by '-3'.
a = 0.6666666667b + -1.666666667c

Simplifying
a = 0.6666666667b + -1.666666667c
Solution
a = {0.6666666667b + -1.666666667c}

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