-6a(2a-2b-3c)=

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


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

Reorder the terms:
(12ab + 18ac + -12a2) = 0
(12ab + 18ac + -12a2) = 0

Solving
12ab + 18ac + -12a2 = 0

Solving for variable 'a'.

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

Ignore the factor 6.

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

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

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

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

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

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

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

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

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

Divide each side by '-2'.
a = b + 1.5c

Simplifying
a = b + 1.5c
Solution
a = {0, b + 1.5c}

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