3ab-3a(2a-4b)-a^2=

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Solution for 3ab-3a(2a-4b)-a^2= equation: 


Simplifying
3ab + -3a(2a + -4b) + -1a2 = 0
3ab + (2a * -3a + -4b * -3a) + -1a2 = 0

Reorder the terms:
3ab + (12ab + -6a2) + -1a2 = 0
3ab + (12ab + -6a2) + -1a2 = 0

Combine like terms: 3ab + 12ab = 15ab
15ab + -6a2 + -1a2 = 0

Combine like terms: -6a2 + -1a2 = -7a2
15ab + -7a2 = 0

Solving
15ab + -7a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(15b + -7a) = 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 '(15b + -7a)' equal to zero and attempt to solve:

Simplifying
15b + -7a = 0

Reorder the terms:
-7a + 15b = 0

Solving
-7a + 15b = 0

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

Add '-15b' to each side of the equation.
-7a + 15b + -15b = 0 + -15b

Combine like terms: 15b + -15b = 0
-7a + 0 = 0 + -15b
-7a = 0 + -15b
Remove the zero:
-7a = -15b

Divide each side by '-7'.
a = 2.142857143b

Simplifying
a = 2.142857143b
Solution
a = {0, 2.142857143b}

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