6a(3a-8)=0

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Solution for 6a(3a-8)=0 equation: 


Simplifying
6a(3a + -8) = 0

Reorder the terms:
6a(-8 + 3a) = 0
(-8 * 6a + 3a * 6a) = 0
(-48a + 18a2) = 0

Solving
-48a + 18a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6a'.
6a(-8 + 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 '(-8 + 3a)' equal to zero and attempt to solve:

Simplifying
-8 + 3a = 0

Solving
-8 + 3a = 0

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

Add '8' to each side of the equation.
-8 + 8 + 3a = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3a = 0 + 8
3a = 0 + 8

Combine like terms: 0 + 8 = 8
3a = 8

Divide each side by '3'.
a = 2.666666667

Simplifying
a = 2.666666667
Solution
a = {0, 2.666666667}

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