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

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


Simplifying
a(-2b + 2c) + -3a(6 + 5c) = 0
(-2b * a + 2c * a) + -3a(6 + 5c) = 0
(-2ab + 2ac) + -3a(6 + 5c) = 0
-2ab + 2ac + (6 * -3a + 5c * -3a) = 0
-2ab + 2ac + (-18a + -15ac) = 0

Reorder the terms:
-18a + -2ab + 2ac + -15ac = 0

Combine like terms: 2ac + -15ac = -13ac
-18a + -2ab + -13ac = 0

Solving
-18a + -2ab + -13ac = 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), '-1a'.
-1a(18 + 2b + 13c) = 0

Ignore the factor -1.

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 '(18 + 2b + 13c)' equal to zero and attempt to solve:

Simplifying
18 + 2b + 13c = 0

Solving
18 + 2b + 13c = 0

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

Add '-18' to each side of the equation.
18 + 2b + -18 + 13c = 0 + -18

Reorder the terms:
18 + -18 + 2b + 13c = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 2b + 13c = 0 + -18
2b + 13c = 0 + -18

Combine like terms: 0 + -18 = -18
2b + 13c = -18

Add '-2b' to each side of the equation.
2b + -2b + 13c = -18 + -2b

Combine like terms: 2b + -2b = 0
0 + 13c = -18 + -2b
13c = -18 + -2b

Add '-13c' to each side of the equation.
13c + -13c = -18 + -2b + -13c

Combine like terms: 13c + -13c = 0
0 = -18 + -2b + -13c

Simplifying
0 = -18 + -2b + -13c

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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