a(3a-4)-3a(2a-3)=

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


Simplifying
a(3a + -4) + -3a(2a + -3) = 0

Reorder the terms:
a(-4 + 3a) + -3a(2a + -3) = 0
(-4 * a + 3a * a) + -3a(2a + -3) = 0
(-4a + 3a2) + -3a(2a + -3) = 0

Reorder the terms:
-4a + 3a2 + -3a(-3 + 2a) = 0
-4a + 3a2 + (-3 * -3a + 2a * -3a) = 0
-4a + 3a2 + (9a + -6a2) = 0

Reorder the terms:
-4a + 9a + 3a2 + -6a2 = 0

Combine like terms: -4a + 9a = 5a
5a + 3a2 + -6a2 = 0

Combine like terms: 3a2 + -6a2 = -3a2
5a + -3a2 = 0

Solving
5a + -3a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(5 + -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 '(5 + -3a)' equal to zero and attempt to solve:

Simplifying
5 + -3a = 0

Solving
5 + -3a = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3a = 0 + -5
-3a = 0 + -5

Combine like terms: 0 + -5 = -5
-3a = -5

Divide each side by '-3'.
a = 1.666666667

Simplifying
a = 1.666666667
Solution
a = {0, 1.666666667}

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