3a(4b-6a)=

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Solution for 3a(4b-6a)= equation: 


Simplifying
3a(4b + -6a) = 0

Reorder the terms:
3a(-6a + 4b) = 0
(-6a * 3a + 4b * 3a) = 0

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

Solving
12ab + -18a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6a'.
6a(2b + -3a) = 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 + -3a)' equal to zero and attempt to solve:

Simplifying
2b + -3a = 0

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

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

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

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

Simplifying
a = 0.6666666667b
Solution
a = {0, 0.6666666667b}

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