6a(9a-6b)=

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Solution for 6a(9a-6b)= equation: 


Simplifying
6a(9a + -6b) = 0
(9a * 6a + -6b * 6a) = 0

Reorder the terms:
(-36ab + 54a2) = 0
(-36ab + 54a2) = 0

Solving
-36ab + 54a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '18a'.
18a(-2b + 3a) = 0

Ignore the factor 18.

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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