=3abc+2a^2c

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Solution for =3abc+2a^2c equation: 


Simplifying
0 = 3abc + 2a2c

Solving
0 = 3abc + 2a2c

Solving for variable 'a'.
Remove the zero:
-3abc + -2a2c = 3abc + 2a2c + -3abc + -2a2c

Reorder the terms:
-3abc + -2a2c = 3abc + -3abc + 2a2c + -2a2c

Combine like terms: 3abc + -3abc = 0
-3abc + -2a2c = 0 + 2a2c + -2a2c
-3abc + -2a2c = 2a2c + -2a2c

Combine like terms: 2a2c + -2a2c = 0
-3abc + -2a2c = 0

Factor out the Greatest Common Factor (GCF), '-1ac'.
-1ac(3b + 2a) = 0

Ignore the factor -1.

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

Simplifying
ac = 0

Solving
ac = 0

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

Simplifying
ac = 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 '(3b + 2a)' equal to zero and attempt to solve:

Simplifying
3b + 2a = 0

Reorder the terms:
2a + 3b = 0

Solving
2a + 3b = 0

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

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

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

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

Simplifying
a = -1.5b
Solution
a = {-1.5b}

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