a(3a+4b-12c)=

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Solution for a(3a+4b-12c)= equation: 


Simplifying
a(3a + 4b + -12c) = 0
(3a * a + 4b * a + -12c * a) = 0

Reorder the terms:
(4ab + -12ac + 3a2) = 0
(4ab + -12ac + 3a2) = 0

Solving
4ab + -12ac + 3a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(4b + -12c + 3a) = 0


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 '(4b + -12c + 3a)' equal to zero and attempt to solve:

Simplifying
4b + -12c + 3a = 0

Reorder the terms:
3a + 4b + -12c = 0

Solving
3a + 4b + -12c = 0

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

Add '-4b' to each side of the equation.
3a + 4b + -4b + -12c = 0 + -4b

Combine like terms: 4b + -4b = 0
3a + 0 + -12c = 0 + -4b
3a + -12c = 0 + -4b
Remove the zero:
3a + -12c = -4b

Add '12c' to each side of the equation.
3a + -12c + 12c = -4b + 12c

Combine like terms: -12c + 12c = 0
3a + 0 = -4b + 12c
3a = -4b + 12c

Divide each side by '3'.
a = -1.333333333b + 4c

Simplifying
a = -1.333333333b + 4c
Solution
a = {0, -1.333333333b + 4c}

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